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Finding the Third Proportional to 160,497 and 341,730

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Solution

The third proportional to 160,497 and 341,730 is: 727,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,497 : 341,730 = 341,730 : x
  2. Step 2: Convert to fraction form
    160,497/341,730 = 341,730/x
  3. Step 3: Cross multiply
    160,497x = 341,730 × 341,730
  4. Step 4: Simplify right side
    160,497x = 116,779,392,900
  5. Step 5: Solve for x
    x = 116,779,392,900/160,497
  6. Step 6: Final answer
    x = 727,611.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.