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Finding the Third Proportional to 174,788.44 and 264,545.72

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Solution

The third proportional to 174,788.44 and 264,545.72 is: 400,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,788.44 : 264,545.72 = 264,545.72 : x
  2. Step 2: Convert to fraction form
    174,788.44/264,545.72 = 264,545.72/x
  3. Step 3: Cross multiply
    174,788.44x = 264,545.72 × 264,545.72
  4. Step 4: Simplify right side
    174,788.44x = 69,984,437,308.95
  5. Step 5: Solve for x
    x = 69,984,437,308.95/174,788.44
  6. Step 6: Final answer
    x = 400,395.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.