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Finding the Third Proportional to 132,106.13 and 294,467.63

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Solution

The third proportional to 132,106.13 and 294,467.63 is: 656,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,106.13 : 294,467.63 = 294,467.63 : x
  2. Step 2: Convert to fraction form
    132,106.13/294,467.63 = 294,467.63/x
  3. Step 3: Cross multiply
    132,106.13x = 294,467.63 × 294,467.63
  4. Step 4: Simplify right side
    132,106.13x = 86,711,182,173.14
  5. Step 5: Solve for x
    x = 86,711,182,173.14/132,106.13
  6. Step 6: Final answer
    x = 656,375.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.