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Finding the Third Proportional to 199,815 and 310,560

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Solution

The third proportional to 199,815 and 310,560 is: 482,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,815 : 310,560 = 310,560 : x
  2. Step 2: Convert to fraction form
    199,815/310,560 = 310,560/x
  3. Step 3: Cross multiply
    199,815x = 310,560 × 310,560
  4. Step 4: Simplify right side
    199,815x = 96,447,513,600
  5. Step 5: Solve for x
    x = 96,447,513,600/199,815
  6. Step 6: Final answer
    x = 482,684.05

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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.