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Finding the Third Proportional to 179,389.13 and 277,588.69

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Solution

The third proportional to 179,389.13 and 277,588.69 is: 429,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,389.13 : 277,588.69 = 277,588.69 : x
  2. Step 2: Convert to fraction form
    179,389.13/277,588.69 = 277,588.69/x
  3. Step 3: Cross multiply
    179,389.13x = 277,588.69 × 277,588.69
  4. Step 4: Simplify right side
    179,389.13x = 77,055,479,427.97
  5. Step 5: Solve for x
    x = 77,055,479,427.97/179,389.13
  6. Step 6: Final answer
    x = 429,543.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.