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Finding the Third Proportional to 186,408 and 296,460

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Solution

The third proportional to 186,408 and 296,460 is: 471,484.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,408 : 296,460 = 296,460 : x
  2. Step 2: Convert to fraction form
    186,408/296,460 = 296,460/x
  3. Step 3: Cross multiply
    186,408x = 296,460 × 296,460
  4. Step 4: Simplify right side
    186,408x = 87,888,531,600
  5. Step 5: Solve for x
    x = 87,888,531,600/186,408
  6. Step 6: Final answer
    x = 471,484.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.