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Finding the Third Proportional to 158,221.13 and 211,357.13

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Solution

The third proportional to 158,221.13 and 211,357.13 is: 282,337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,221.13 : 211,357.13 = 211,357.13 : x
  2. Step 2: Convert to fraction form
    158,221.13/211,357.13 = 211,357.13/x
  3. Step 3: Cross multiply
    158,221.13x = 211,357.13 × 211,357.13
  4. Step 4: Simplify right side
    158,221.13x = 44,671,834,288.27
  5. Step 5: Solve for x
    x = 44,671,834,288.27/158,221.13
  6. Step 6: Final answer
    x = 282,337.99

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.