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Finding the Third Proportional to 240,852.75 and 518,702.25

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Solution

The third proportional to 240,852.75 and 518,702.25 is: 1,117,080.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,852.75 : 518,702.25 = 518,702.25 : x
  2. Step 2: Convert to fraction form
    240,852.75/518,702.25 = 518,702.25/x
  3. Step 3: Cross multiply
    240,852.75x = 518,702.25 × 518,702.25
  4. Step 4: Simplify right side
    240,852.75x = 269,052,024,155.06
  5. Step 5: Solve for x
    x = 269,052,024,155.06/240,852.75
  6. Step 6: Final answer
    x = 1,117,080.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.