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Finding the Third Proportional to 228,154.50 and 341,884.50

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Solution

The third proportional to 228,154.50 and 341,884.50 is: 512,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,154.50 : 341,884.50 = 341,884.50 : x
  2. Step 2: Convert to fraction form
    228,154.50/341,884.50 = 341,884.50/x
  3. Step 3: Cross multiply
    228,154.50x = 341,884.50 × 341,884.50
  4. Step 4: Simplify right side
    228,154.50x = 116,885,011,340.25
  5. Step 5: Solve for x
    x = 116,885,011,340.25/228,154.50
  6. Step 6: Final answer
    x = 512,306.40

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Why These Related Problems?

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