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Finding the Third Proportional to 153,744.75 and 337,758.19

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Solution

The third proportional to 153,744.75 and 337,758.19 is: 742,012.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,744.75 : 337,758.19 = 337,758.19 : x
  2. Step 2: Convert to fraction form
    153,744.75/337,758.19 = 337,758.19/x
  3. Step 3: Cross multiply
    153,744.75x = 337,758.19 × 337,758.19
  4. Step 4: Simplify right side
    153,744.75x = 114,080,593,223.29
  5. Step 5: Solve for x
    x = 114,080,593,223.29/153,744.75
  6. Step 6: Final answer
    x = 742,012.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.