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Finding the Third Proportional to 269,107.50 and 566,095.50

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Solution

The third proportional to 269,107.50 and 566,095.50 is: 1,190,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,107.50 : 566,095.50 = 566,095.50 : x
  2. Step 2: Convert to fraction form
    269,107.50/566,095.50 = 566,095.50/x
  3. Step 3: Cross multiply
    269,107.50x = 566,095.50 × 566,095.50
  4. Step 4: Simplify right side
    269,107.50x = 320,464,115,120.25
  5. Step 5: Solve for x
    x = 320,464,115,120.25/269,107.50
  6. Step 6: Final answer
    x = 1,190,840.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.