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Finding the Third Proportional to 142,215.75 and 304,672.50

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Solution

The third proportional to 142,215.75 and 304,672.50 is: 652,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,215.75 : 304,672.50 = 304,672.50 : x
  2. Step 2: Convert to fraction form
    142,215.75/304,672.50 = 304,672.50/x
  3. Step 3: Cross multiply
    142,215.75x = 304,672.50 × 304,672.50
  4. Step 4: Simplify right side
    142,215.75x = 92,825,332,256.25
  5. Step 5: Solve for x
    x = 92,825,332,256.25/142,215.75
  6. Step 6: Final answer
    x = 652,707.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.