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Finding the Third Proportional to 155,026.41 and 332,193.66

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Solution

The third proportional to 155,026.41 and 332,193.66 is: 711,831.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,026.41 : 332,193.66 = 332,193.66 : x
  2. Step 2: Convert to fraction form
    155,026.41/332,193.66 = 332,193.66/x
  3. Step 3: Cross multiply
    155,026.41x = 332,193.66 × 332,193.66
  4. Step 4: Simplify right side
    155,026.41x = 110,352,625,252.74
  5. Step 5: Solve for x
    x = 110,352,625,252.74/155,026.41
  6. Step 6: Final answer
    x = 711,831.15

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Why These Related Problems?

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