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Finding the Third Proportional to 117,612.75 and 250,397.25

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Solution

The third proportional to 117,612.75 and 250,397.25 is: 533,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,612.75 : 250,397.25 = 250,397.25 : x
  2. Step 2: Convert to fraction form
    117,612.75/250,397.25 = 250,397.25/x
  3. Step 3: Cross multiply
    117,612.75x = 250,397.25 × 250,397.25
  4. Step 4: Simplify right side
    117,612.75x = 62,698,782,807.56
  5. Step 5: Solve for x
    x = 62,698,782,807.56/117,612.75
  6. Step 6: Final answer
    x = 533,095.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.