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Finding the Third Proportional to 129,964 and 284,750

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Solution

The third proportional to 129,964 and 284,750 is: 623,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,964 : 284,750 = 284,750 : x
  2. Step 2: Convert to fraction form
    129,964/284,750 = 284,750/x
  3. Step 3: Cross multiply
    129,964x = 284,750 × 284,750
  4. Step 4: Simplify right side
    129,964x = 81,082,562,500
  5. Step 5: Solve for x
    x = 81,082,562,500/129,964
  6. Step 6: Final answer
    x = 623,884.79

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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.