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Finding the Third Proportional to 151,210.13 and 330,122.25

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Solution

The third proportional to 151,210.13 and 330,122.25 is: 720,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,210.13 : 330,122.25 = 330,122.25 : x
  2. Step 2: Convert to fraction form
    151,210.13/330,122.25 = 330,122.25/x
  3. Step 3: Cross multiply
    151,210.13x = 330,122.25 × 330,122.25
  4. Step 4: Simplify right side
    151,210.13x = 108,980,699,945.06
  5. Step 5: Solve for x
    x = 108,980,699,945.06/151,210.13
  6. Step 6: Final answer
    x = 720,723.56

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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.