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Finding the Third Proportional to 183,478 and 258,376

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Solution

The third proportional to 183,478 and 258,376 is: 363,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,478 : 258,376 = 258,376 : x
  2. Step 2: Convert to fraction form
    183,478/258,376 = 258,376/x
  3. Step 3: Cross multiply
    183,478x = 258,376 × 258,376
  4. Step 4: Simplify right side
    183,478x = 66,758,157,376
  5. Step 5: Solve for x
    x = 66,758,157,376/183,478
  6. Step 6: Final answer
    x = 363,848.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.