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Finding the Third Proportional to 275,026.50 and 368,041.50

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Solution

The third proportional to 275,026.50 and 368,041.50 is: 492,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,026.50 : 368,041.50 = 368,041.50 : x
  2. Step 2: Convert to fraction form
    275,026.50/368,041.50 = 368,041.50/x
  3. Step 3: Cross multiply
    275,026.50x = 368,041.50 × 368,041.50
  4. Step 4: Simplify right side
    275,026.50x = 135,454,545,722.25
  5. Step 5: Solve for x
    x = 135,454,545,722.25/275,026.50
  6. Step 6: Final answer
    x = 492,514.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.