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Finding the Third Proportional to 153,424.13 and 206,379.14

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Solution

The third proportional to 153,424.13 and 206,379.14 is: 277,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,424.13 : 206,379.14 = 206,379.14 : x
  2. Step 2: Convert to fraction form
    153,424.13/206,379.14 = 206,379.14/x
  3. Step 3: Cross multiply
    153,424.13x = 206,379.14 × 206,379.14
  4. Step 4: Simplify right side
    153,424.13x = 42,592,349,685.11
  5. Step 5: Solve for x
    x = 42,592,349,685.11/153,424.13
  6. Step 6: Final answer
    x = 277,611.81

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.