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Finding the Third Proportional to 187,742 and 391,018

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Solution

The third proportional to 187,742 and 391,018 is: 814,389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,742 : 391,018 = 391,018 : x
  2. Step 2: Convert to fraction form
    187,742/391,018 = 391,018/x
  3. Step 3: Cross multiply
    187,742x = 391,018 × 391,018
  4. Step 4: Simplify right side
    187,742x = 152,895,076,324
  5. Step 5: Solve for x
    x = 152,895,076,324/187,742
  6. Step 6: Final answer
    x = 814,389.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.