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Finding the Third Proportional to 140,947.59 and 304,061.34

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Solution

The third proportional to 140,947.59 and 304,061.34 is: 655,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,947.59 : 304,061.34 = 304,061.34 : x
  2. Step 2: Convert to fraction form
    140,947.59/304,061.34 = 304,061.34/x
  3. Step 3: Cross multiply
    140,947.59x = 304,061.34 × 304,061.34
  4. Step 4: Simplify right side
    140,947.59x = 92,453,300,763.06
  5. Step 5: Solve for x
    x = 92,453,300,763.06/140,947.59
  6. Step 6: Final answer
    x = 655,940.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.