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Finding the Third Proportional to 176,424 and 381,036.50

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Solution

The third proportional to 176,424 and 381,036.50 is: 822,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,424 : 381,036.50 = 381,036.50 : x
  2. Step 2: Convert to fraction form
    176,424/381,036.50 = 381,036.50/x
  3. Step 3: Cross multiply
    176,424x = 381,036.50 × 381,036.50
  4. Step 4: Simplify right side
    176,424x = 145,188,814,332.25
  5. Step 5: Solve for x
    x = 145,188,814,332.25/176,424
  6. Step 6: Final answer
    x = 822,953.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.