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Finding the Third Proportional to 176,859 and 250,010

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Solution

The third proportional to 176,859 and 250,010 is: 353,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,859 : 250,010 = 250,010 : x
  2. Step 2: Convert to fraction form
    176,859/250,010 = 250,010/x
  3. Step 3: Cross multiply
    176,859x = 250,010 × 250,010
  4. Step 4: Simplify right side
    176,859x = 62,505,000,100
  5. Step 5: Solve for x
    x = 62,505,000,100/176,859
  6. Step 6: Final answer
    x = 353,417.13

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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.