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Finding the Third Proportional to 160,857 and 266,557.50

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Solution

The third proportional to 160,857 and 266,557.50 is: 441,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,857 : 266,557.50 = 266,557.50 : x
  2. Step 2: Convert to fraction form
    160,857/266,557.50 = 266,557.50/x
  3. Step 3: Cross multiply
    160,857x = 266,557.50 × 266,557.50
  4. Step 4: Simplify right side
    160,857x = 71,052,900,806.25
  5. Step 5: Solve for x
    x = 71,052,900,806.25/160,857
  6. Step 6: Final answer
    x = 441,714.70

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.