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Finding the Third Proportional to 114,000 and 250,032

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Solution

The third proportional to 114,000 and 250,032 is: 548,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,000 : 250,032 = 250,032 : x
  2. Step 2: Convert to fraction form
    114,000/250,032 = 250,032/x
  3. Step 3: Cross multiply
    114,000x = 250,032 × 250,032
  4. Step 4: Simplify right side
    114,000x = 62,516,001,024
  5. Step 5: Solve for x
    x = 62,516,001,024/114,000
  6. Step 6: Final answer
    x = 548,385.97

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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.