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Finding the Third Proportional to 152,935 and 329,468

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Solution

The third proportional to 152,935 and 329,468 is: 709,773.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,935 : 329,468 = 329,468 : x
  2. Step 2: Convert to fraction form
    152,935/329,468 = 329,468/x
  3. Step 3: Cross multiply
    152,935x = 329,468 × 329,468
  4. Step 4: Simplify right side
    152,935x = 108,549,163,024
  5. Step 5: Solve for x
    x = 108,549,163,024/152,935
  6. Step 6: Final answer
    x = 709,773.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.