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Finding the Third Proportional to 150,294 and 224,967

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Solution

The third proportional to 150,294 and 224,967 is: 336,740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,294 : 224,967 = 224,967 : x
  2. Step 2: Convert to fraction form
    150,294/224,967 = 224,967/x
  3. Step 3: Cross multiply
    150,294x = 224,967 × 224,967
  4. Step 4: Simplify right side
    150,294x = 50,610,151,089
  5. Step 5: Solve for x
    x = 50,610,151,089/150,294
  6. Step 6: Final answer
    x = 336,740.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.