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Finding the Third Proportional to 183,022.50 and 278,058

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Solution

The third proportional to 183,022.50 and 278,058 is: 422,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,022.50 : 278,058 = 278,058 : x
  2. Step 2: Convert to fraction form
    183,022.50/278,058 = 278,058/x
  3. Step 3: Cross multiply
    183,022.50x = 278,058 × 278,058
  4. Step 4: Simplify right side
    183,022.50x = 77,316,251,364
  5. Step 5: Solve for x
    x = 77,316,251,364/183,022.50
  6. Step 6: Final answer
    x = 422,441.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.