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Finding the Third Proportional to 151,706 and 330,154

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Solution

The third proportional to 151,706 and 330,154 is: 718,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,706 : 330,154 = 330,154 : x
  2. Step 2: Convert to fraction form
    151,706/330,154 = 330,154/x
  3. Step 3: Cross multiply
    151,706x = 330,154 × 330,154
  4. Step 4: Simplify right side
    151,706x = 109,001,663,716
  5. Step 5: Solve for x
    x = 109,001,663,716/151,706
  6. Step 6: Final answer
    x = 718,505.95

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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.