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Finding the Third Proportional to 158,943 and 330,816

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Solution

The third proportional to 158,943 and 330,816 is: 688,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,943 : 330,816 = 330,816 : x
  2. Step 2: Convert to fraction form
    158,943/330,816 = 330,816/x
  3. Step 3: Cross multiply
    158,943x = 330,816 × 330,816
  4. Step 4: Simplify right side
    158,943x = 109,439,225,856
  5. Step 5: Solve for x
    x = 109,439,225,856/158,943
  6. Step 6: Final answer
    x = 688,543.85

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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.