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Finding the Third Proportional to 261,107.30 and 546,203.25

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Solution

The third proportional to 261,107.30 and 546,203.25 is: 1,142,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,107.30 : 546,203.25 = 546,203.25 : x
  2. Step 2: Convert to fraction form
    261,107.30/546,203.25 = 546,203.25/x
  3. Step 3: Cross multiply
    261,107.30x = 546,203.25 × 546,203.25
  4. Step 4: Simplify right side
    261,107.30x = 298,337,990,310.56
  5. Step 5: Solve for x
    x = 298,337,990,310.56/261,107.30
  6. Step 6: Final answer
    x = 1,142,587.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.