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Finding the Third Proportional to 132,705.84 and 288,739.41

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Solution

The third proportional to 132,705.84 and 288,739.41 is: 628,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,705.84 : 288,739.41 = 288,739.41 : x
  2. Step 2: Convert to fraction form
    132,705.84/288,739.41 = 288,739.41/x
  3. Step 3: Cross multiply
    132,705.84x = 288,739.41 × 288,739.41
  4. Step 4: Simplify right side
    132,705.84x = 83,370,444,721.60
  5. Step 5: Solve for x
    x = 83,370,444,721.60/132,705.84
  6. Step 6: Final answer
    x = 628,234.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.