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Finding the Third Proportional to 119,270.25 and 257,224.50

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Solution

The third proportional to 119,270.25 and 257,224.50 is: 554,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,270.25 : 257,224.50 = 257,224.50 : x
  2. Step 2: Convert to fraction form
    119,270.25/257,224.50 = 257,224.50/x
  3. Step 3: Cross multiply
    119,270.25x = 257,224.50 × 257,224.50
  4. Step 4: Simplify right side
    119,270.25x = 66,164,443,400.25
  5. Step 5: Solve for x
    x = 66,164,443,400.25/119,270.25
  6. Step 6: Final answer
    x = 554,743.90

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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.