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Finding the Third Proportional to 160,418 and 324,730

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Solution

The third proportional to 160,418 and 324,730 is: 657,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,418 : 324,730 = 324,730 : x
  2. Step 2: Convert to fraction form
    160,418/324,730 = 324,730/x
  3. Step 3: Cross multiply
    160,418x = 324,730 × 324,730
  4. Step 4: Simplify right side
    160,418x = 105,449,572,900
  5. Step 5: Solve for x
    x = 105,449,572,900/160,418
  6. Step 6: Final answer
    x = 657,342.52

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.