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Finding the Third Proportional to 134,836.75 and 224,701.24

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Solution

The third proportional to 134,836.75 and 224,701.24 is: 374,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,836.75 : 224,701.24 = 224,701.24 : x
  2. Step 2: Convert to fraction form
    134,836.75/224,701.24 = 224,701.24/x
  3. Step 3: Cross multiply
    134,836.75x = 224,701.24 × 224,701.24
  4. Step 4: Simplify right side
    134,836.75x = 50,490,645,154.81
  5. Step 5: Solve for x
    x = 50,490,645,154.81/134,836.75
  6. Step 6: Final answer
    x = 374,457.61

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.