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Finding the Third Proportional to 115,294 and 250,788

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Solution

The third proportional to 115,294 and 250,788 is: 545,515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,294 : 250,788 = 250,788 : x
  2. Step 2: Convert to fraction form
    115,294/250,788 = 250,788/x
  3. Step 3: Cross multiply
    115,294x = 250,788 × 250,788
  4. Step 4: Simplify right side
    115,294x = 62,894,620,944
  5. Step 5: Solve for x
    x = 62,894,620,944/115,294
  6. Step 6: Final answer
    x = 545,515.13

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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.