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Finding the Third Proportional to 215,724.50 and 337,670.50

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Solution

The third proportional to 215,724.50 and 337,670.50 is: 528,550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,724.50 : 337,670.50 = 337,670.50 : x
  2. Step 2: Convert to fraction form
    215,724.50/337,670.50 = 337,670.50/x
  3. Step 3: Cross multiply
    215,724.50x = 337,670.50 × 337,670.50
  4. Step 4: Simplify right side
    215,724.50x = 114,021,366,570.25
  5. Step 5: Solve for x
    x = 114,021,366,570.25/215,724.50
  6. Step 6: Final answer
    x = 528,550.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.