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Finding the Third Proportional to 153,567 and 232,499.25

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Solution

The third proportional to 153,567 and 232,499.25 is: 352,002.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,567 : 232,499.25 = 232,499.25 : x
  2. Step 2: Convert to fraction form
    153,567/232,499.25 = 232,499.25/x
  3. Step 3: Cross multiply
    153,567x = 232,499.25 × 232,499.25
  4. Step 4: Simplify right side
    153,567x = 54,055,901,250.56
  5. Step 5: Solve for x
    x = 54,055,901,250.56/153,567
  6. Step 6: Final answer
    x = 352,002.07

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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.