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Finding the Third Proportional to 160,507.50 and 341,751

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Solution

The third proportional to 160,507.50 and 341,751 is: 727,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,507.50 : 341,751 = 341,751 : x
  2. Step 2: Convert to fraction form
    160,507.50/341,751 = 341,751/x
  3. Step 3: Cross multiply
    160,507.50x = 341,751 × 341,751
  4. Step 4: Simplify right side
    160,507.50x = 116,793,746,001
  5. Step 5: Solve for x
    x = 116,793,746,001/160,507.50
  6. Step 6: Final answer
    x = 727,652.89

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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.