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Finding the Third Proportional to 118,534.50 and 261,085.50

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Solution

The third proportional to 118,534.50 and 261,085.50 is: 575,070.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,534.50 : 261,085.50 = 261,085.50 : x
  2. Step 2: Convert to fraction form
    118,534.50/261,085.50 = 261,085.50/x
  3. Step 3: Cross multiply
    118,534.50x = 261,085.50 × 261,085.50
  4. Step 4: Simplify right side
    118,534.50x = 68,165,638,310.25
  5. Step 5: Solve for x
    x = 68,165,638,310.25/118,534.50
  6. Step 6: Final answer
    x = 575,070.03

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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.