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Finding the Third Proportional to 176,860.13 and 280,243.13

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Solution

The third proportional to 176,860.13 and 280,243.13 is: 444,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,860.13 : 280,243.13 = 280,243.13 : x
  2. Step 2: Convert to fraction form
    176,860.13/280,243.13 = 280,243.13/x
  3. Step 3: Cross multiply
    176,860.13x = 280,243.13 × 280,243.13
  4. Step 4: Simplify right side
    176,860.13x = 78,536,209,109.77
  5. Step 5: Solve for x
    x = 78,536,209,109.77/176,860.13
  6. Step 6: Final answer
    x = 444,058.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.