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Finding the Third Proportional to 116,887.50 and 252,461.25

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Solution

The third proportional to 116,887.50 and 252,461.25 is: 545,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,887.50 : 252,461.25 = 252,461.25 : x
  2. Step 2: Convert to fraction form
    116,887.50/252,461.25 = 252,461.25/x
  3. Step 3: Cross multiply
    116,887.50x = 252,461.25 × 252,461.25
  4. Step 4: Simplify right side
    116,887.50x = 63,736,682,751.56
  5. Step 5: Solve for x
    x = 63,736,682,751.56/116,887.50
  6. Step 6: Final answer
    x = 545,282.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.