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Finding the Third Proportional to 151,966.13 and 330,690.38

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Solution

The third proportional to 151,966.13 and 330,690.38 is: 719,608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,966.13 : 330,690.38 = 330,690.38 : x
  2. Step 2: Convert to fraction form
    151,966.13/330,690.38 = 330,690.38/x
  3. Step 3: Cross multiply
    151,966.13x = 330,690.38 × 330,690.38
  4. Step 4: Simplify right side
    151,966.13x = 109,356,124,117.64
  5. Step 5: Solve for x
    x = 109,356,124,117.64/151,966.13
  6. Step 6: Final answer
    x = 719,608.56

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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.