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Finding the Third Proportional to 176,023.13 and 264,876.75

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Solution

The third proportional to 176,023.13 and 264,876.75 is: 398,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,023.13 : 264,876.75 = 264,876.75 : x
  2. Step 2: Convert to fraction form
    176,023.13/264,876.75 = 264,876.75/x
  3. Step 3: Cross multiply
    176,023.13x = 264,876.75 × 264,876.75
  4. Step 4: Simplify right side
    176,023.13x = 70,159,692,690.56
  5. Step 5: Solve for x
    x = 70,159,692,690.56/176,023.13
  6. Step 6: Final answer
    x = 398,582.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.