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Finding the Third Proportional to 109,550 and 224,292

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Solution

The third proportional to 109,550 and 224,292 is: 459,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,550 : 224,292 = 224,292 : x
  2. Step 2: Convert to fraction form
    109,550/224,292 = 224,292/x
  3. Step 3: Cross multiply
    109,550x = 224,292 × 224,292
  4. Step 4: Simplify right side
    109,550x = 50,306,901,264
  5. Step 5: Solve for x
    x = 50,306,901,264/109,550
  6. Step 6: Final answer
    x = 459,214.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.