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Finding the Third Proportional to 113,466 and 188,450

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Solution

The third proportional to 113,466 and 188,450 is: 312,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,466 : 188,450 = 188,450 : x
  2. Step 2: Convert to fraction form
    113,466/188,450 = 188,450/x
  3. Step 3: Cross multiply
    113,466x = 188,450 × 188,450
  4. Step 4: Simplify right side
    113,466x = 35,513,402,500
  5. Step 5: Solve for x
    x = 35,513,402,500/113,466
  6. Step 6: Final answer
    x = 312,987.17

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.