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Finding the Third Proportional to 160,301 and 250,156

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Solution

The third proportional to 160,301 and 250,156 is: 390,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,301 : 250,156 = 250,156 : x
  2. Step 2: Convert to fraction form
    160,301/250,156 = 250,156/x
  3. Step 3: Cross multiply
    160,301x = 250,156 × 250,156
  4. Step 4: Simplify right side
    160,301x = 62,578,024,336
  5. Step 5: Solve for x
    x = 62,578,024,336/160,301
  6. Step 6: Final answer
    x = 390,378.25

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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.