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Finding the Third Proportional to 192,051 and 276,637.50

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Solution

The third proportional to 192,051 and 276,637.50 is: 398,479.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,051 : 276,637.50 = 276,637.50 : x
  2. Step 2: Convert to fraction form
    192,051/276,637.50 = 276,637.50/x
  3. Step 3: Cross multiply
    192,051x = 276,637.50 × 276,637.50
  4. Step 4: Simplify right side
    192,051x = 76,528,306,406.25
  5. Step 5: Solve for x
    x = 76,528,306,406.25/192,051
  6. Step 6: Final answer
    x = 398,479.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.