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Finding the Third Proportional to 153,604.69 and 224,560.69

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Solution

The third proportional to 153,604.69 and 224,560.69 is: 328,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,604.69 : 224,560.69 = 224,560.69 : x
  2. Step 2: Convert to fraction form
    153,604.69/224,560.69 = 224,560.69/x
  3. Step 3: Cross multiply
    153,604.69x = 224,560.69 × 224,560.69
  4. Step 4: Simplify right side
    153,604.69x = 50,427,502,370.47
  5. Step 5: Solve for x
    x = 50,427,502,370.47/153,604.69
  6. Step 6: Final answer
    x = 328,294.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.