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Finding the Third Proportional to 186,408 and 392,688

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Solution

The third proportional to 186,408 and 392,688 is: 827,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,408 : 392,688 = 392,688 : x
  2. Step 2: Convert to fraction form
    186,408/392,688 = 392,688/x
  3. Step 3: Cross multiply
    186,408x = 392,688 × 392,688
  4. Step 4: Simplify right side
    186,408x = 154,203,865,344
  5. Step 5: Solve for x
    x = 154,203,865,344/186,408
  6. Step 6: Final answer
    x = 827,238.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.