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Finding the Third Proportional to 142,280 and 329,348

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Solution

The third proportional to 142,280 and 329,348 is: 762,370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,280 : 329,348 = 329,348 : x
  2. Step 2: Convert to fraction form
    142,280/329,348 = 329,348/x
  3. Step 3: Cross multiply
    142,280x = 329,348 × 329,348
  4. Step 4: Simplify right side
    142,280x = 108,470,105,104
  5. Step 5: Solve for x
    x = 108,470,105,104/142,280
  6. Step 6: Final answer
    x = 762,370.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.