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Finding the Third Proportional to 145,216 and 228,204

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Solution

The third proportional to 145,216 and 228,204 is: 358,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,216 : 228,204 = 228,204 : x
  2. Step 2: Convert to fraction form
    145,216/228,204 = 228,204/x
  3. Step 3: Cross multiply
    145,216x = 228,204 × 228,204
  4. Step 4: Simplify right side
    145,216x = 52,077,065,616
  5. Step 5: Solve for x
    x = 52,077,065,616/145,216
  6. Step 6: Final answer
    x = 358,617.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.