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Finding the Third Proportional to 185,670 and 406,115.50

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Solution

The third proportional to 185,670 and 406,115.50 is: 888,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,670 : 406,115.50 = 406,115.50 : x
  2. Step 2: Convert to fraction form
    185,670/406,115.50 = 406,115.50/x
  3. Step 3: Cross multiply
    185,670x = 406,115.50 × 406,115.50
  4. Step 4: Simplify right side
    185,670x = 164,929,799,340.25
  5. Step 5: Solve for x
    x = 164,929,799,340.25/185,670
  6. Step 6: Final answer
    x = 888,295.36

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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.