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Finding the Third Proportional to 241,360.25 and 317,389

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Solution

The third proportional to 241,360.25 and 317,389 is: 417,366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,360.25 : 317,389 = 317,389 : x
  2. Step 2: Convert to fraction form
    241,360.25/317,389 = 317,389/x
  3. Step 3: Cross multiply
    241,360.25x = 317,389 × 317,389
  4. Step 4: Simplify right side
    241,360.25x = 100,735,777,321
  5. Step 5: Solve for x
    x = 100,735,777,321/241,360.25
  6. Step 6: Final answer
    x = 417,366.89

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.