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Finding the Third Proportional to 159,036.75 and 238,897.69

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Solution

The third proportional to 159,036.75 and 238,897.69 is: 358,861.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,036.75 : 238,897.69 = 238,897.69 : x
  2. Step 2: Convert to fraction form
    159,036.75/238,897.69 = 238,897.69/x
  3. Step 3: Cross multiply
    159,036.75x = 238,897.69 × 238,897.69
  4. Step 4: Simplify right side
    159,036.75x = 57,072,105,092.85
  5. Step 5: Solve for x
    x = 57,072,105,092.85/159,036.75
  6. Step 6: Final answer
    x = 358,861.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.