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Finding the Third Proportional to 114,319 and 250,432

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Solution

The third proportional to 114,319 and 250,432 is: 548,606.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,319 : 250,432 = 250,432 : x
  2. Step 2: Convert to fraction form
    114,319/250,432 = 250,432/x
  3. Step 3: Cross multiply
    114,319x = 250,432 × 250,432
  4. Step 4: Simplify right side
    114,319x = 62,716,186,624
  5. Step 5: Solve for x
    x = 62,716,186,624/114,319
  6. Step 6: Final answer
    x = 548,606.85

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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.