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Finding the Third Proportional to 160,550 and 250,017

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Solution

The third proportional to 160,550 and 250,017 is: 389,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,550 : 250,017 = 250,017 : x
  2. Step 2: Convert to fraction form
    160,550/250,017 = 250,017/x
  3. Step 3: Cross multiply
    160,550x = 250,017 × 250,017
  4. Step 4: Simplify right side
    160,550x = 62,508,500,289
  5. Step 5: Solve for x
    x = 62,508,500,289/160,550
  6. Step 6: Final answer
    x = 389,339.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.