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Finding the Third Proportional to 134,492 and 188,486

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Solution

The third proportional to 134,492 and 188,486 is: 264,156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,492 : 188,486 = 188,486 : x
  2. Step 2: Convert to fraction form
    134,492/188,486 = 188,486/x
  3. Step 3: Cross multiply
    134,492x = 188,486 × 188,486
  4. Step 4: Simplify right side
    134,492x = 35,526,972,196
  5. Step 5: Solve for x
    x = 35,526,972,196/134,492
  6. Step 6: Final answer
    x = 264,156.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.