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Finding the Third Proportional to 151,719 and 330,184

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Solution

The third proportional to 151,719 and 330,184 is: 718,574.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,719 : 330,184 = 330,184 : x
  2. Step 2: Convert to fraction form
    151,719/330,184 = 330,184/x
  3. Step 3: Cross multiply
    151,719x = 330,184 × 330,184
  4. Step 4: Simplify right side
    151,719x = 109,021,473,856
  5. Step 5: Solve for x
    x = 109,021,473,856/151,719
  6. Step 6: Final answer
    x = 718,574.96

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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.