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Finding the Third Proportional to 218,361 and 309,316.50

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Solution

The third proportional to 218,361 and 309,316.50 is: 438,158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,361 : 309,316.50 = 309,316.50 : x
  2. Step 2: Convert to fraction form
    218,361/309,316.50 = 309,316.50/x
  3. Step 3: Cross multiply
    218,361x = 309,316.50 × 309,316.50
  4. Step 4: Simplify right side
    218,361x = 95,676,697,172.25
  5. Step 5: Solve for x
    x = 95,676,697,172.25/218,361
  6. Step 6: Final answer
    x = 438,158.36

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.