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Finding the Third Proportional to 176,877 and 280,213.50

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Solution

The third proportional to 176,877 and 280,213.50 is: 443,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,877 : 280,213.50 = 280,213.50 : x
  2. Step 2: Convert to fraction form
    176,877/280,213.50 = 280,213.50/x
  3. Step 3: Cross multiply
    176,877x = 280,213.50 × 280,213.50
  4. Step 4: Simplify right side
    176,877x = 78,519,605,582.25
  5. Step 5: Solve for x
    x = 78,519,605,582.25/176,877
  6. Step 6: Final answer
    x = 443,922.08

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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.