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Finding the Third Proportional to 176,069 and 250,873

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Solution

The third proportional to 176,069 and 250,873 is: 357,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,069 : 250,873 = 250,873 : x
  2. Step 2: Convert to fraction form
    176,069/250,873 = 250,873/x
  3. Step 3: Cross multiply
    176,069x = 250,873 × 250,873
  4. Step 4: Simplify right side
    176,069x = 62,937,262,129
  5. Step 5: Solve for x
    x = 62,937,262,129/176,069
  6. Step 6: Final answer
    x = 357,457.94

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.