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Finding the Third Proportional to 80,370 and 176,050

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Solution

The third proportional to 80,370 and 176,050 is: 385,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,370 : 176,050 = 176,050 : x
  2. Step 2: Convert to fraction form
    80,370/176,050 = 176,050/x
  3. Step 3: Cross multiply
    80,370x = 176,050 × 176,050
  4. Step 4: Simplify right side
    80,370x = 30,993,602,500
  5. Step 5: Solve for x
    x = 30,993,602,500/80,370
  6. Step 6: Final answer
    x = 385,636.46

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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.