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Finding the Third Proportional to 80,551.65 and 176,595.98

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Solution

The third proportional to 80,551.65 and 176,595.98 is: 387,157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,551.65 : 176,595.98 = 176,595.98 : x
  2. Step 2: Convert to fraction form
    80,551.65/176,595.98 = 176,595.98/x
  3. Step 3: Cross multiply
    80,551.65x = 176,595.98 × 176,595.98
  4. Step 4: Simplify right side
    80,551.65x = 31,186,139,627.89
  5. Step 5: Solve for x
    x = 31,186,139,627.89/80,551.65
  6. Step 6: Final answer
    x = 387,157.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.