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Finding the Third Proportional to 158,870 and 330,808

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Solution

The third proportional to 158,870 and 330,808 is: 688,826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,870 : 330,808 = 330,808 : x
  2. Step 2: Convert to fraction form
    158,870/330,808 = 330,808/x
  3. Step 3: Cross multiply
    158,870x = 330,808 × 330,808
  4. Step 4: Simplify right side
    158,870x = 109,433,932,864
  5. Step 5: Solve for x
    x = 109,433,932,864/158,870
  6. Step 6: Final answer
    x = 688,826.92

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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.