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Finding the Third Proportional to 176,509.13 and 270,003.38

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Solution

The third proportional to 176,509.13 and 270,003.38 is: 413,020.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,509.13 : 270,003.38 = 270,003.38 : x
  2. Step 2: Convert to fraction form
    176,509.13/270,003.38 = 270,003.38/x
  3. Step 3: Cross multiply
    176,509.13x = 270,003.38 × 270,003.38
  4. Step 4: Simplify right side
    176,509.13x = 72,901,822,511.39
  5. Step 5: Solve for x
    x = 72,901,822,511.39/176,509.13
  6. Step 6: Final answer
    x = 413,020.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.