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Finding the Third Proportional to 211,952.50 and 320,088.75

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Solution

The third proportional to 211,952.50 and 320,088.75 is: 483,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,952.50 : 320,088.75 = 320,088.75 : x
  2. Step 2: Convert to fraction form
    211,952.50/320,088.75 = 320,088.75/x
  3. Step 3: Cross multiply
    211,952.50x = 320,088.75 × 320,088.75
  4. Step 4: Simplify right side
    211,952.50x = 102,456,807,876.56
  5. Step 5: Solve for x
    x = 102,456,807,876.56/211,952.50
  6. Step 6: Final answer
    x = 483,395.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.