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Finding the Third Proportional to 141,300 and 299,448

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Solution

The third proportional to 141,300 and 299,448 is: 634,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,300 : 299,448 = 299,448 : x
  2. Step 2: Convert to fraction form
    141,300/299,448 = 299,448/x
  3. Step 3: Cross multiply
    141,300x = 299,448 × 299,448
  4. Step 4: Simplify right side
    141,300x = 89,669,104,704
  5. Step 5: Solve for x
    x = 89,669,104,704/141,300
  6. Step 6: Final answer
    x = 634,600.88

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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.