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Finding the Third Proportional to 150,358.15 and 198,746.47

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Solution

The third proportional to 150,358.15 and 198,746.47 is: 262,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,358.15 : 198,746.47 = 198,746.47 : x
  2. Step 2: Convert to fraction form
    150,358.15/198,746.47 = 198,746.47/x
  3. Step 3: Cross multiply
    150,358.15x = 198,746.47 × 198,746.47
  4. Step 4: Simplify right side
    150,358.15x = 39,500,160,393.30
  5. Step 5: Solve for x
    x = 39,500,160,393.30/150,358.15
  6. Step 6: Final answer
    x = 262,707.15

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.