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Finding the Third Proportional to 187,668 and 276,537

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Solution

The third proportional to 187,668 and 276,537 is: 407,489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,668 : 276,537 = 276,537 : x
  2. Step 2: Convert to fraction form
    187,668/276,537 = 276,537/x
  3. Step 3: Cross multiply
    187,668x = 276,537 × 276,537
  4. Step 4: Simplify right side
    187,668x = 76,472,712,369
  5. Step 5: Solve for x
    x = 76,472,712,369/187,668
  6. Step 6: Final answer
    x = 407,489.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.