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Finding the Third Proportional to 200,856 and 310,999.50

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Solution

The third proportional to 200,856 and 310,999.50 is: 481,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,856 : 310,999.50 = 310,999.50 : x
  2. Step 2: Convert to fraction form
    200,856/310,999.50 = 310,999.50/x
  3. Step 3: Cross multiply
    200,856x = 310,999.50 × 310,999.50
  4. Step 4: Simplify right side
    200,856x = 96,720,689,000.25
  5. Step 5: Solve for x
    x = 96,720,689,000.25/200,856
  6. Step 6: Final answer
    x = 481,542.44

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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.