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Finding the Third Proportional to 188,047 and 391,646

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Solution

The third proportional to 188,047 and 391,646 is: 815,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,047 : 391,646 = 391,646 : x
  2. Step 2: Convert to fraction form
    188,047/391,646 = 391,646/x
  3. Step 3: Cross multiply
    188,047x = 391,646 × 391,646
  4. Step 4: Simplify right side
    188,047x = 153,386,589,316
  5. Step 5: Solve for x
    x = 153,386,589,316/188,047
  6. Step 6: Final answer
    x = 815,682.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.