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Finding the Third Proportional to 160,506 and 341,748

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Solution

The third proportional to 160,506 and 341,748 is: 727,646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,506 : 341,748 = 341,748 : x
  2. Step 2: Convert to fraction form
    160,506/341,748 = 341,748/x
  3. Step 3: Cross multiply
    160,506x = 341,748 × 341,748
  4. Step 4: Simplify right side
    160,506x = 116,791,695,504
  5. Step 5: Solve for x
    x = 116,791,695,504/160,506
  6. Step 6: Final answer
    x = 727,646.91

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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.