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Finding the Third Proportional to 153,653.25 and 241,036.88

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Solution

The third proportional to 153,653.25 and 241,036.88 is: 378,116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,653.25 : 241,036.88 = 241,036.88 : x
  2. Step 2: Convert to fraction form
    153,653.25/241,036.88 = 241,036.88/x
  3. Step 3: Cross multiply
    153,653.25x = 241,036.88 × 241,036.88
  4. Step 4: Simplify right side
    153,653.25x = 58,098,775,109.77
  5. Step 5: Solve for x
    x = 58,098,775,109.77/153,653.25
  6. Step 6: Final answer
    x = 378,116.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.