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Finding the Third Proportional to 179,487.56 and 277,884.84

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Solution

The third proportional to 179,487.56 and 277,884.84 is: 430,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,487.56 : 277,884.84 = 277,884.84 : x
  2. Step 2: Convert to fraction form
    179,487.56/277,884.84 = 277,884.84/x
  3. Step 3: Cross multiply
    179,487.56x = 277,884.84 × 277,884.84
  4. Step 4: Simplify right side
    179,487.56x = 77,219,986,385.96
  5. Step 5: Solve for x
    x = 77,219,986,385.96/179,487.56
  6. Step 6: Final answer
    x = 430,224.72

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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.