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Finding the Third Proportional to 188,574 and 412,140

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Solution

The third proportional to 188,574 and 412,140 is: 900,757.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,574 : 412,140 = 412,140 : x
  2. Step 2: Convert to fraction form
    188,574/412,140 = 412,140/x
  3. Step 3: Cross multiply
    188,574x = 412,140 × 412,140
  4. Step 4: Simplify right side
    188,574x = 169,859,379,600
  5. Step 5: Solve for x
    x = 169,859,379,600/188,574
  6. Step 6: Final answer
    x = 900,757.15

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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.