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Finding the Third Proportional to 130,347 and 284,022

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Solution

The third proportional to 130,347 and 284,022 is: 618,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,347 : 284,022 = 284,022 : x
  2. Step 2: Convert to fraction form
    130,347/284,022 = 284,022/x
  3. Step 3: Cross multiply
    130,347x = 284,022 × 284,022
  4. Step 4: Simplify right side
    130,347x = 80,668,496,484
  5. Step 5: Solve for x
    x = 80,668,496,484/130,347
  6. Step 6: Final answer
    x = 618,874.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.