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Finding the Third Proportional to 153,352.88 and 232,788.38

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Solution

The third proportional to 153,352.88 and 232,788.38 is: 353,370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,352.88 : 232,788.38 = 232,788.38 : x
  2. Step 2: Convert to fraction form
    153,352.88/232,788.38 = 232,788.38/x
  3. Step 3: Cross multiply
    153,352.88x = 232,788.38 × 232,788.38
  4. Step 4: Simplify right side
    153,352.88x = 54,190,427,535.14
  5. Step 5: Solve for x
    x = 54,190,427,535.14/153,352.88
  6. Step 6: Final answer
    x = 353,370.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.