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Finding the Third Proportional to 187,256 and 390,068

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Solution

The third proportional to 187,256 and 390,068 is: 812,540.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,256 : 390,068 = 390,068 : x
  2. Step 2: Convert to fraction form
    187,256/390,068 = 390,068/x
  3. Step 3: Cross multiply
    187,256x = 390,068 × 390,068
  4. Step 4: Simplify right side
    187,256x = 152,153,044,624
  5. Step 5: Solve for x
    x = 152,153,044,624/187,256
  6. Step 6: Final answer
    x = 812,540.29

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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.