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Finding the Third Proportional to 187,309 and 279,855.50

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Solution

The third proportional to 187,309 and 279,855.50 is: 418,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,309 : 279,855.50 = 279,855.50 : x
  2. Step 2: Convert to fraction form
    187,309/279,855.50 = 279,855.50/x
  3. Step 3: Cross multiply
    187,309x = 279,855.50 × 279,855.50
  4. Step 4: Simplify right side
    187,309x = 78,319,100,880.25
  5. Step 5: Solve for x
    x = 78,319,100,880.25/187,309
  6. Step 6: Final answer
    x = 418,127.80

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