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Finding the Third Proportional to 205,988.50 and 318,784

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Solution

The third proportional to 205,988.50 and 318,784 is: 493,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,988.50 : 318,784 = 318,784 : x
  2. Step 2: Convert to fraction form
    205,988.50/318,784 = 318,784/x
  3. Step 3: Cross multiply
    205,988.50x = 318,784 × 318,784
  4. Step 4: Simplify right side
    205,988.50x = 101,623,238,656
  5. Step 5: Solve for x
    x = 101,623,238,656/205,988.50
  6. Step 6: Final answer
    x = 493,344.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.