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Finding the Third Proportional to 254,092.50 and 536,373

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Solution

The third proportional to 254,092.50 and 536,373 is: 1,132,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,092.50 : 536,373 = 536,373 : x
  2. Step 2: Convert to fraction form
    254,092.50/536,373 = 536,373/x
  3. Step 3: Cross multiply
    254,092.50x = 536,373 × 536,373
  4. Step 4: Simplify right side
    254,092.50x = 287,695,995,129
  5. Step 5: Solve for x
    x = 287,695,995,129/254,092.50
  6. Step 6: Final answer
    x = 1,132,249.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.