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Finding the Third Proportional to 228,952 and 350,226

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Solution

The third proportional to 228,952 and 350,226 is: 535,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,952 : 350,226 = 350,226 : x
  2. Step 2: Convert to fraction form
    228,952/350,226 = 350,226/x
  3. Step 3: Cross multiply
    228,952x = 350,226 × 350,226
  4. Step 4: Simplify right side
    228,952x = 122,658,251,076
  5. Step 5: Solve for x
    x = 122,658,251,076/228,952
  6. Step 6: Final answer
    x = 535,737.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.