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Finding the Third Proportional to 275,235.50 and 425,380

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Solution

The third proportional to 275,235.50 and 425,380 is: 657,430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,235.50 : 425,380 = 425,380 : x
  2. Step 2: Convert to fraction form
    275,235.50/425,380 = 425,380/x
  3. Step 3: Cross multiply
    275,235.50x = 425,380 × 425,380
  4. Step 4: Simplify right side
    275,235.50x = 180,948,144,400
  5. Step 5: Solve for x
    x = 180,948,144,400/275,235.50
  6. Step 6: Final answer
    x = 657,430.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.