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Finding the Third Proportional to 142,629 and 305,499

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Solution

The third proportional to 142,629 and 305,499 is: 654,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,629 : 305,499 = 305,499 : x
  2. Step 2: Convert to fraction form
    142,629/305,499 = 305,499/x
  3. Step 3: Cross multiply
    142,629x = 305,499 × 305,499
  4. Step 4: Simplify right side
    142,629x = 93,329,639,001
  5. Step 5: Solve for x
    x = 93,329,639,001/142,629
  6. Step 6: Final answer
    x = 654,352.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.