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Finding the Third Proportional to 119,092.50 and 257,625

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Solution

The third proportional to 119,092.50 and 257,625 is: 557,303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,092.50 : 257,625 = 257,625 : x
  2. Step 2: Convert to fraction form
    119,092.50/257,625 = 257,625/x
  3. Step 3: Cross multiply
    119,092.50x = 257,625 × 257,625
  4. Step 4: Simplify right side
    119,092.50x = 66,370,640,625
  5. Step 5: Solve for x
    x = 66,370,640,625/119,092.50
  6. Step 6: Final answer
    x = 557,303.28

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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.