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Finding the Third Proportional to 149,535 and 224,308

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Solution

The third proportional to 149,535 and 224,308 is: 336,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,535 : 224,308 = 224,308 : x
  2. Step 2: Convert to fraction form
    149,535/224,308 = 224,308/x
  3. Step 3: Cross multiply
    149,535x = 224,308 × 224,308
  4. Step 4: Simplify right side
    149,535x = 50,314,078,864
  5. Step 5: Solve for x
    x = 50,314,078,864/149,535
  6. Step 6: Final answer
    x = 336,470.25

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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.