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Finding the Third Proportional to 151,707 and 330,160

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Solution

The third proportional to 151,707 and 330,160 is: 718,527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,707 : 330,160 = 330,160 : x
  2. Step 2: Convert to fraction form
    151,707/330,160 = 330,160/x
  3. Step 3: Cross multiply
    151,707x = 330,160 × 330,160
  4. Step 4: Simplify right side
    151,707x = 109,005,625,600
  5. Step 5: Solve for x
    x = 109,005,625,600/151,707
  6. Step 6: Final answer
    x = 718,527.33

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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.