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Finding the Third Proportional to 153,720 and 232,626

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Solution

The third proportional to 153,720 and 232,626 is: 352,035.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,720 : 232,626 = 232,626 : x
  2. Step 2: Convert to fraction form
    153,720/232,626 = 232,626/x
  3. Step 3: Cross multiply
    153,720x = 232,626 × 232,626
  4. Step 4: Simplify right side
    153,720x = 54,114,855,876
  5. Step 5: Solve for x
    x = 54,114,855,876/153,720
  6. Step 6: Final answer
    x = 352,035.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.