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Finding the Third Proportional to 141,224 and 224,998.50

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Solution

The third proportional to 141,224 and 224,998.50 is: 358,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,224 : 224,998.50 = 224,998.50 : x
  2. Step 2: Convert to fraction form
    141,224/224,998.50 = 224,998.50/x
  3. Step 3: Cross multiply
    141,224x = 224,998.50 × 224,998.50
  4. Step 4: Simplify right side
    141,224x = 50,624,325,002.25
  5. Step 5: Solve for x
    x = 50,624,325,002.25/141,224
  6. Step 6: Final answer
    x = 358,468.28

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.