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Finding the Third Proportional to 129,948 and 284,714

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Solution

The third proportional to 129,948 and 284,714 is: 623,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,948 : 284,714 = 284,714 : x
  2. Step 2: Convert to fraction form
    129,948/284,714 = 284,714/x
  3. Step 3: Cross multiply
    129,948x = 284,714 × 284,714
  4. Step 4: Simplify right side
    129,948x = 81,062,061,796
  5. Step 5: Solve for x
    x = 81,062,061,796/129,948
  6. Step 6: Final answer
    x = 623,803.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.