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Finding the Third Proportional to 185,209 and 276,717

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Solution

The third proportional to 185,209 and 276,717 is: 413,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,209 : 276,717 = 276,717 : x
  2. Step 2: Convert to fraction form
    185,209/276,717 = 276,717/x
  3. Step 3: Cross multiply
    185,209x = 276,717 × 276,717
  4. Step 4: Simplify right side
    185,209x = 76,572,298,089
  5. Step 5: Solve for x
    x = 76,572,298,089/185,209
  6. Step 6: Final answer
    x = 413,437.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.