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Finding the Third Proportional to 73,472 and 160,264

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Solution

The third proportional to 73,472 and 160,264 is: 349,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,472 : 160,264 = 160,264 : x
  2. Step 2: Convert to fraction form
    73,472/160,264 = 160,264/x
  3. Step 3: Cross multiply
    73,472x = 160,264 × 160,264
  4. Step 4: Simplify right side
    73,472x = 25,684,549,696
  5. Step 5: Solve for x
    x = 25,684,549,696/73,472
  6. Step 6: Final answer
    x = 349,582.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.