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Finding the Third Proportional to 182,316 and 391,884

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Solution

The third proportional to 182,316 and 391,884 is: 842,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,316 : 391,884 = 391,884 : x
  2. Step 2: Convert to fraction form
    182,316/391,884 = 391,884/x
  3. Step 3: Cross multiply
    182,316x = 391,884 × 391,884
  4. Step 4: Simplify right side
    182,316x = 153,573,069,456
  5. Step 5: Solve for x
    x = 153,573,069,456/182,316
  6. Step 6: Final answer
    x = 842,345.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.