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Finding the Third Proportional to 80,368 and 176,046

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Solution

The third proportional to 80,368 and 176,046 is: 385,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,368 : 176,046 = 176,046 : x
  2. Step 2: Convert to fraction form
    80,368/176,046 = 176,046/x
  3. Step 3: Cross multiply
    80,368x = 176,046 × 176,046
  4. Step 4: Simplify right side
    80,368x = 30,992,194,116
  5. Step 5: Solve for x
    x = 30,992,194,116/80,368
  6. Step 6: Final answer
    x = 385,628.54

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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.