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Finding the Third Proportional to 176,883 and 280,081.50

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Solution

The third proportional to 176,883 and 280,081.50 is: 443,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,883 : 280,081.50 = 280,081.50 : x
  2. Step 2: Convert to fraction form
    176,883/280,081.50 = 280,081.50/x
  3. Step 3: Cross multiply
    176,883x = 280,081.50 × 280,081.50
  4. Step 4: Simplify right side
    176,883x = 78,445,646,642.25
  5. Step 5: Solve for x
    x = 78,445,646,642.25/176,883
  6. Step 6: Final answer
    x = 443,488.90

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.