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Finding the Third Proportional to 158,535 and 330,192

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Solution

The third proportional to 158,535 and 330,192 is: 687,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,535 : 330,192 = 330,192 : x
  2. Step 2: Convert to fraction form
    158,535/330,192 = 330,192/x
  3. Step 3: Cross multiply
    158,535x = 330,192 × 330,192
  4. Step 4: Simplify right side
    158,535x = 109,026,756,864
  5. Step 5: Solve for x
    x = 109,026,756,864/158,535
  6. Step 6: Final answer
    x = 687,714.11

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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.