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Finding the Third Proportional to 188,095.50 and 406,869.75

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Solution

The third proportional to 188,095.50 and 406,869.75 is: 880,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,095.50 : 406,869.75 = 406,869.75 : x
  2. Step 2: Convert to fraction form
    188,095.50/406,869.75 = 406,869.75/x
  3. Step 3: Cross multiply
    188,095.50x = 406,869.75 × 406,869.75
  4. Step 4: Simplify right side
    188,095.50x = 165,542,993,465.06
  5. Step 5: Solve for x
    x = 165,542,993,465.06/188,095.50
  6. Step 6: Final answer
    x = 880,100.77

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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.