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Finding the Third Proportional to 147,660.47 and 229,080.66

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Solution

The third proportional to 147,660.47 and 229,080.66 is: 355,396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,660.47 : 229,080.66 = 229,080.66 : x
  2. Step 2: Convert to fraction form
    147,660.47/229,080.66 = 229,080.66/x
  3. Step 3: Cross multiply
    147,660.47x = 229,080.66 × 229,080.66
  4. Step 4: Simplify right side
    147,660.47x = 52,477,947,067.93
  5. Step 5: Solve for x
    x = 52,477,947,067.93/147,660.47
  6. Step 6: Final answer
    x = 355,396.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.