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Finding the Third Proportional to 158,215.78 and 237,357.84

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Solution

The third proportional to 158,215.78 and 237,357.84 is: 356,088.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,215.78 : 237,357.84 = 237,357.84 : x
  2. Step 2: Convert to fraction form
    158,215.78/237,357.84 = 237,357.84/x
  3. Step 3: Cross multiply
    158,215.78x = 237,357.84 × 237,357.84
  4. Step 4: Simplify right side
    158,215.78x = 56,338,745,989.65
  5. Step 5: Solve for x
    x = 56,338,745,989.65/158,215.78
  6. Step 6: Final answer
    x = 356,088.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.