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Finding the Third Proportional to 240,536.25 and 519,210

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Solution

The third proportional to 240,536.25 and 519,210 is: 1,120,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,536.25 : 519,210 = 519,210 : x
  2. Step 2: Convert to fraction form
    240,536.25/519,210 = 519,210/x
  3. Step 3: Cross multiply
    240,536.25x = 519,210 × 519,210
  4. Step 4: Simplify right side
    240,536.25x = 269,579,024,100
  5. Step 5: Solve for x
    x = 269,579,024,100/240,536.25
  6. Step 6: Final answer
    x = 1,120,741.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.