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Finding the Third Proportional to 113,468 and 188,453

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Solution

The third proportional to 113,468 and 188,453 is: 312,991.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,468 : 188,453 = 188,453 : x
  2. Step 2: Convert to fraction form
    113,468/188,453 = 188,453/x
  3. Step 3: Cross multiply
    113,468x = 188,453 × 188,453
  4. Step 4: Simplify right side
    113,468x = 35,514,533,209
  5. Step 5: Solve for x
    x = 35,514,533,209/113,468
  6. Step 6: Final answer
    x = 312,991.62

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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.