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Finding the Third Proportional to 237,915 and 324,058.50

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Solution

The third proportional to 237,915 and 324,058.50 is: 441,392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,915 : 324,058.50 = 324,058.50 : x
  2. Step 2: Convert to fraction form
    237,915/324,058.50 = 324,058.50/x
  3. Step 3: Cross multiply
    237,915x = 324,058.50 × 324,058.50
  4. Step 4: Simplify right side
    237,915x = 105,013,911,422.25
  5. Step 5: Solve for x
    x = 105,013,911,422.25/237,915
  6. Step 6: Final answer
    x = 441,392.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.