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Finding the Third Proportional to 235,102.50 and 342,812.25

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Solution

The third proportional to 235,102.50 and 342,812.25 is: 499,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,102.50 : 342,812.25 = 342,812.25 : x
  2. Step 2: Convert to fraction form
    235,102.50/342,812.25 = 342,812.25/x
  3. Step 3: Cross multiply
    235,102.50x = 342,812.25 × 342,812.25
  4. Step 4: Simplify right side
    235,102.50x = 117,520,238,750.06
  5. Step 5: Solve for x
    x = 117,520,238,750.06/235,102.50
  6. Step 6: Final answer
    x = 499,868.09

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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.