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Finding the Third Proportional to 175,024 and 258,844

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Solution

The third proportional to 175,024 and 258,844 is: 382,805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,024 : 258,844 = 258,844 : x
  2. Step 2: Convert to fraction form
    175,024/258,844 = 258,844/x
  3. Step 3: Cross multiply
    175,024x = 258,844 × 258,844
  4. Step 4: Simplify right side
    175,024x = 67,000,216,336
  5. Step 5: Solve for x
    x = 67,000,216,336/175,024
  6. Step 6: Final answer
    x = 382,805.88

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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.