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Finding the Third Proportional to 153,876.75 and 240,535.13

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Solution

The third proportional to 153,876.75 and 240,535.13 is: 375,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,876.75 : 240,535.13 = 240,535.13 : x
  2. Step 2: Convert to fraction form
    153,876.75/240,535.13 = 240,535.13/x
  3. Step 3: Cross multiply
    153,876.75x = 240,535.13 × 240,535.13
  4. Step 4: Simplify right side
    153,876.75x = 57,857,146,358.77
  5. Step 5: Solve for x
    x = 57,857,146,358.77/153,876.75
  6. Step 6: Final answer
    x = 375,996.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.