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Finding the Third Proportional to 176,058 and 211,597

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Solution

The third proportional to 176,058 and 211,597 is: 254,309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,058 : 211,597 = 211,597 : x
  2. Step 2: Convert to fraction form
    176,058/211,597 = 211,597/x
  3. Step 3: Cross multiply
    176,058x = 211,597 × 211,597
  4. Step 4: Simplify right side
    176,058x = 44,773,290,409
  5. Step 5: Solve for x
    x = 44,773,290,409/176,058
  6. Step 6: Final answer
    x = 254,309.89

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.