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Finding the Third Proportional to 158,532 and 330,180

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Solution

The third proportional to 158,532 and 330,180 is: 687,677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,532 : 330,180 = 330,180 : x
  2. Step 2: Convert to fraction form
    158,532/330,180 = 330,180/x
  3. Step 3: Cross multiply
    158,532x = 330,180 × 330,180
  4. Step 4: Simplify right side
    158,532x = 109,018,832,400
  5. Step 5: Solve for x
    x = 109,018,832,400/158,532
  6. Step 6: Final answer
    x = 687,677.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.