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Finding the Third Proportional to 147,835.13 and 330,115.50

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Solution

The third proportional to 147,835.13 and 330,115.50 is: 737,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,835.13 : 330,115.50 = 330,115.50 : x
  2. Step 2: Convert to fraction form
    147,835.13/330,115.50 = 330,115.50/x
  3. Step 3: Cross multiply
    147,835.13x = 330,115.50 × 330,115.50
  4. Step 4: Simplify right side
    147,835.13x = 108,976,243,340.25
  5. Step 5: Solve for x
    x = 108,976,243,340.25/147,835.13
  6. Step 6: Final answer
    x = 737,147.17

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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.