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Finding the Third Proportional to 228,204.84 and 355,225.50

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Solution

The third proportional to 228,204.84 and 355,225.50 is: 552,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,204.84 : 355,225.50 = 355,225.50 : x
  2. Step 2: Convert to fraction form
    228,204.84/355,225.50 = 355,225.50/x
  3. Step 3: Cross multiply
    228,204.84x = 355,225.50 × 355,225.50
  4. Step 4: Simplify right side
    228,204.84x = 126,185,155,850.25
  5. Step 5: Solve for x
    x = 126,185,155,850.25/228,204.84
  6. Step 6: Final answer
    x = 552,946.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.