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Finding the Third Proportional to 115,012 and 250,274

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Solution

The third proportional to 115,012 and 250,274 is: 544,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,012 : 250,274 = 250,274 : x
  2. Step 2: Convert to fraction form
    115,012/250,274 = 250,274/x
  3. Step 3: Cross multiply
    115,012x = 250,274 × 250,274
  4. Step 4: Simplify right side
    115,012x = 62,637,075,076
  5. Step 5: Solve for x
    x = 62,637,075,076/115,012
  6. Step 6: Final answer
    x = 544,613.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.