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Finding the Third Proportional to 185,008 and 277,538

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Solution

The third proportional to 185,008 and 277,538 is: 416,346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,008 : 277,538 = 277,538 : x
  2. Step 2: Convert to fraction form
    185,008/277,538 = 277,538/x
  3. Step 3: Cross multiply
    185,008x = 277,538 × 277,538
  4. Step 4: Simplify right side
    185,008x = 77,027,341,444
  5. Step 5: Solve for x
    x = 77,027,341,444/185,008
  6. Step 6: Final answer
    x = 416,346.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.