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Finding the Third Proportional to 147,940 and 235,655

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Solution

The third proportional to 147,940 and 235,655 is: 375,377.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,940 : 235,655 = 235,655 : x
  2. Step 2: Convert to fraction form
    147,940/235,655 = 235,655/x
  3. Step 3: Cross multiply
    147,940x = 235,655 × 235,655
  4. Step 4: Simplify right side
    147,940x = 55,533,279,025
  5. Step 5: Solve for x
    x = 55,533,279,025/147,940
  6. Step 6: Final answer
    x = 375,377.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.