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Finding the Third Proportional to 158,575.22 and 330,269.91

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Solution

The third proportional to 158,575.22 and 330,269.91 is: 687,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,575.22 : 330,269.91 = 330,269.91 : x
  2. Step 2: Convert to fraction form
    158,575.22/330,269.91 = 330,269.91/x
  3. Step 3: Cross multiply
    158,575.22x = 330,269.91 × 330,269.91
  4. Step 4: Simplify right side
    158,575.22x = 109,078,210,974.38
  5. Step 5: Solve for x
    x = 109,078,210,974.38/158,575.22
  6. Step 6: Final answer
    x = 687,864.17

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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.