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Finding the Third Proportional to 141,264 and 299,052

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Solution

The third proportional to 141,264 and 299,052 is: 633,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,264 : 299,052 = 299,052 : x
  2. Step 2: Convert to fraction form
    141,264/299,052 = 299,052/x
  3. Step 3: Cross multiply
    141,264x = 299,052 × 299,052
  4. Step 4: Simplify right side
    141,264x = 89,432,098,704
  5. Step 5: Solve for x
    x = 89,432,098,704/141,264
  6. Step 6: Final answer
    x = 633,084.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.