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Finding the Third Proportional to 185,058 and 278,937

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Solution

The third proportional to 185,058 and 278,937 is: 420,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,058 : 278,937 = 278,937 : x
  2. Step 2: Convert to fraction form
    185,058/278,937 = 278,937/x
  3. Step 3: Cross multiply
    185,058x = 278,937 × 278,937
  4. Step 4: Simplify right side
    185,058x = 77,805,849,969
  5. Step 5: Solve for x
    x = 77,805,849,969/185,058
  6. Step 6: Final answer
    x = 420,440.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.