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Finding the Third Proportional to 223,988.25 and 346,816.13

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Solution

The third proportional to 223,988.25 and 346,816.13 is: 536,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,988.25 : 346,816.13 = 346,816.13 : x
  2. Step 2: Convert to fraction form
    223,988.25/346,816.13 = 346,816.13/x
  3. Step 3: Cross multiply
    223,988.25x = 346,816.13 × 346,816.13
  4. Step 4: Simplify right side
    223,988.25x = 120,281,424,560.02
  5. Step 5: Solve for x
    x = 120,281,424,560.02/223,988.25
  6. Step 6: Final answer
    x = 536,998.81

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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.