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Finding the Third Proportional to 160,564 and 250,040

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Solution

The third proportional to 160,564 and 250,040 is: 389,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,564 : 250,040 = 250,040 : x
  2. Step 2: Convert to fraction form
    160,564/250,040 = 250,040/x
  3. Step 3: Cross multiply
    160,564x = 250,040 × 250,040
  4. Step 4: Simplify right side
    160,564x = 62,520,001,600
  5. Step 5: Solve for x
    x = 62,520,001,600/160,564
  6. Step 6: Final answer
    x = 389,377.45

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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.