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Finding the Third Proportional to 235,114.88 and 342,830.25

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Solution

The third proportional to 235,114.88 and 342,830.25 is: 499,894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,114.88 : 342,830.25 = 342,830.25 : x
  2. Step 2: Convert to fraction form
    235,114.88/342,830.25 = 342,830.25/x
  3. Step 3: Cross multiply
    235,114.88x = 342,830.25 × 342,830.25
  4. Step 4: Simplify right side
    235,114.88x = 117,532,580,315.06
  5. Step 5: Solve for x
    x = 117,532,580,315.06/235,114.88
  6. Step 6: Final answer
    x = 499,894.28

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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.