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Finding the Third Proportional to 152,891 and 224,841

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Solution

The third proportional to 152,891 and 224,841 is: 330,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,891 : 224,841 = 224,841 : x
  2. Step 2: Convert to fraction form
    152,891/224,841 = 224,841/x
  3. Step 3: Cross multiply
    152,891x = 224,841 × 224,841
  4. Step 4: Simplify right side
    152,891x = 50,553,475,281
  5. Step 5: Solve for x
    x = 50,553,475,281/152,891
  6. Step 6: Final answer
    x = 330,650.43

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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.