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Finding the Third Proportional to 151,863 and 240,164.25

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Solution

The third proportional to 151,863 and 240,164.25 is: 379,808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,863 : 240,164.25 = 240,164.25 : x
  2. Step 2: Convert to fraction form
    151,863/240,164.25 = 240,164.25/x
  3. Step 3: Cross multiply
    151,863x = 240,164.25 × 240,164.25
  4. Step 4: Simplify right side
    151,863x = 57,678,866,978.06
  5. Step 5: Solve for x
    x = 57,678,866,978.06/151,863
  6. Step 6: Final answer
    x = 379,808.56

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.