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Finding the Third Proportional to 127,312.25 and 280,047.25

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Solution

The third proportional to 127,312.25 and 280,047.25 is: 616,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,312.25 : 280,047.25 = 280,047.25 : x
  2. Step 2: Convert to fraction form
    127,312.25/280,047.25 = 280,047.25/x
  3. Step 3: Cross multiply
    127,312.25x = 280,047.25 × 280,047.25
  4. Step 4: Simplify right side
    127,312.25x = 78,426,462,232.56
  5. Step 5: Solve for x
    x = 78,426,462,232.56/127,312.25
  6. Step 6: Final answer
    x = 616,016.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.