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Finding the Third Proportional to 178,488 and 286,974

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Solution

The third proportional to 178,488 and 286,974 is: 461,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,488 : 286,974 = 286,974 : x
  2. Step 2: Convert to fraction form
    178,488/286,974 = 286,974/x
  3. Step 3: Cross multiply
    178,488x = 286,974 × 286,974
  4. Step 4: Simplify right side
    178,488x = 82,354,076,676
  5. Step 5: Solve for x
    x = 82,354,076,676/178,488
  6. Step 6: Final answer
    x = 461,398.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.