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Finding the Third Proportional to 188,512.31 and 406,547.44

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Solution

The third proportional to 188,512.31 and 406,547.44 is: 876,764.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,512.31 : 406,547.44 = 406,547.44 : x
  2. Step 2: Convert to fraction form
    188,512.31/406,547.44 = 406,547.44/x
  3. Step 3: Cross multiply
    188,512.31x = 406,547.44 × 406,547.44
  4. Step 4: Simplify right side
    188,512.31x = 165,280,818,937.82
  5. Step 5: Solve for x
    x = 165,280,818,937.82/188,512.31
  6. Step 6: Final answer
    x = 876,764.05

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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.