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Finding the Third Proportional to 174,624 and 258,659

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Solution

The third proportional to 174,624 and 258,659 is: 383,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,624 : 258,659 = 258,659 : x
  2. Step 2: Convert to fraction form
    174,624/258,659 = 258,659/x
  3. Step 3: Cross multiply
    174,624x = 258,659 × 258,659
  4. Step 4: Simplify right side
    174,624x = 66,904,478,281
  5. Step 5: Solve for x
    x = 66,904,478,281/174,624
  6. Step 6: Final answer
    x = 383,134.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.