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Finding the Third Proportional to 212,287.50 and 309,681

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Solution

The third proportional to 212,287.50 and 309,681 is: 451,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,287.50 : 309,681 = 309,681 : x
  2. Step 2: Convert to fraction form
    212,287.50/309,681 = 309,681/x
  3. Step 3: Cross multiply
    212,287.50x = 309,681 × 309,681
  4. Step 4: Simplify right side
    212,287.50x = 95,902,321,761
  5. Step 5: Solve for x
    x = 95,902,321,761/212,287.50
  6. Step 6: Final answer
    x = 451,756.80

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.