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Finding the Third Proportional to 141,264 and 299,376

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Solution

The third proportional to 141,264 and 299,376 is: 634,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,264 : 299,376 = 299,376 : x
  2. Step 2: Convert to fraction form
    141,264/299,376 = 299,376/x
  3. Step 3: Cross multiply
    141,264x = 299,376 × 299,376
  4. Step 4: Simplify right side
    141,264x = 89,625,989,376
  5. Step 5: Solve for x
    x = 89,625,989,376/141,264
  6. Step 6: Final answer
    x = 634,457.39

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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.