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Finding the Third Proportional to 188,201 and 402,583

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Solution

The third proportional to 188,201 and 402,583 is: 861,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,201 : 402,583 = 402,583 : x
  2. Step 2: Convert to fraction form
    188,201/402,583 = 402,583/x
  3. Step 3: Cross multiply
    188,201x = 402,583 × 402,583
  4. Step 4: Simplify right side
    188,201x = 162,073,071,889
  5. Step 5: Solve for x
    x = 162,073,071,889/188,201
  6. Step 6: Final answer
    x = 861,170.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.