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Finding the Third Proportional to 186,410 and 296,463

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Solution

The third proportional to 186,410 and 296,463 is: 471,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,410 : 296,463 = 296,463 : x
  2. Step 2: Convert to fraction form
    186,410/296,463 = 296,463/x
  3. Step 3: Cross multiply
    186,410x = 296,463 × 296,463
  4. Step 4: Simplify right side
    186,410x = 87,890,310,369
  5. Step 5: Solve for x
    x = 87,890,310,369/186,410
  6. Step 6: Final answer
    x = 471,489.25

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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.