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Finding the Third Proportional to 118,996.50 and 250,264.50

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Solution

The third proportional to 118,996.50 and 250,264.50 is: 526,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,996.50 : 250,264.50 = 250,264.50 : x
  2. Step 2: Convert to fraction form
    118,996.50/250,264.50 = 250,264.50/x
  3. Step 3: Cross multiply
    118,996.50x = 250,264.50 × 250,264.50
  4. Step 4: Simplify right side
    118,996.50x = 62,632,319,960.25
  5. Step 5: Solve for x
    x = 62,632,319,960.25/118,996.50
  6. Step 6: Final answer
    x = 526,337.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.