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Finding the Third Proportional to 235,114.50 and 342,829.50

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Solution

The third proportional to 235,114.50 and 342,829.50 is: 499,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,114.50 : 342,829.50 = 342,829.50 : x
  2. Step 2: Convert to fraction form
    235,114.50/342,829.50 = 342,829.50/x
  3. Step 3: Cross multiply
    235,114.50x = 342,829.50 × 342,829.50
  4. Step 4: Simplify right side
    235,114.50x = 117,532,066,070.25
  5. Step 5: Solve for x
    x = 117,532,066,070.25/235,114.50
  6. Step 6: Final answer
    x = 499,892.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.