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Finding the Third Proportional to 116,464.50 and 250,746

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Solution

The third proportional to 116,464.50 and 250,746 is: 539,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,464.50 : 250,746 = 250,746 : x
  2. Step 2: Convert to fraction form
    116,464.50/250,746 = 250,746/x
  3. Step 3: Cross multiply
    116,464.50x = 250,746 × 250,746
  4. Step 4: Simplify right side
    116,464.50x = 62,873,556,516
  5. Step 5: Solve for x
    x = 62,873,556,516/116,464.50
  6. Step 6: Final answer
    x = 539,851.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.