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Finding the Third Proportional to 153,186 and 224,439

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Solution

The third proportional to 153,186 and 224,439 is: 328,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,186 : 224,439 = 224,439 : x
  2. Step 2: Convert to fraction form
    153,186/224,439 = 224,439/x
  3. Step 3: Cross multiply
    153,186x = 224,439 × 224,439
  4. Step 4: Simplify right side
    153,186x = 50,372,864,721
  5. Step 5: Solve for x
    x = 50,372,864,721/153,186
  6. Step 6: Final answer
    x = 328,834.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.