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Finding the Third Proportional to 150,265.13 and 212,275.69

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Solution

The third proportional to 150,265.13 and 212,275.69 is: 299,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,265.13 : 212,275.69 = 212,275.69 : x
  2. Step 2: Convert to fraction form
    150,265.13/212,275.69 = 212,275.69/x
  3. Step 3: Cross multiply
    150,265.13x = 212,275.69 × 212,275.69
  4. Step 4: Simplify right side
    150,265.13x = 45,060,967,503.60
  5. Step 5: Solve for x
    x = 45,060,967,503.60/150,265.13
  6. Step 6: Final answer
    x = 299,876.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.