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Finding the Third Proportional to 153,841.78 and 232,816.78

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Solution

The third proportional to 153,841.78 and 232,816.78 is: 352,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,841.78 : 232,816.78 = 232,816.78 : x
  2. Step 2: Convert to fraction form
    153,841.78/232,816.78 = 232,816.78/x
  3. Step 3: Cross multiply
    153,841.78x = 232,816.78 × 232,816.78
  4. Step 4: Simplify right side
    153,841.78x = 54,203,653,631.61
  5. Step 5: Solve for x
    x = 54,203,653,631.61/153,841.78
  6. Step 6: Final answer
    x = 352,333.76

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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.