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Finding the Third Proportional to 221,310 and 335,305.50

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Solution

The third proportional to 221,310 and 335,305.50 is: 508,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,310 : 335,305.50 = 335,305.50 : x
  2. Step 2: Convert to fraction form
    221,310/335,305.50 = 335,305.50/x
  3. Step 3: Cross multiply
    221,310x = 335,305.50 × 335,305.50
  4. Step 4: Simplify right side
    221,310x = 112,429,778,330.25
  5. Step 5: Solve for x
    x = 112,429,778,330.25/221,310
  6. Step 6: Final answer
    x = 508,019.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.