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Finding the Third Proportional to 183,981 and 341,718

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Solution

The third proportional to 183,981 and 341,718 is: 634,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,981 : 341,718 = 341,718 : x
  2. Step 2: Convert to fraction form
    183,981/341,718 = 341,718/x
  3. Step 3: Cross multiply
    183,981x = 341,718 × 341,718
  4. Step 4: Simplify right side
    183,981x = 116,771,191,524
  5. Step 5: Solve for x
    x = 116,771,191,524/183,981
  6. Step 6: Final answer
    x = 634,691.58

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.