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Finding the Third Proportional to 228,002 and 350,931

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Solution

The third proportional to 228,002 and 350,931 is: 540,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,002 : 350,931 = 350,931 : x
  2. Step 2: Convert to fraction form
    228,002/350,931 = 350,931/x
  3. Step 3: Cross multiply
    228,002x = 350,931 × 350,931
  4. Step 4: Simplify right side
    228,002x = 123,152,566,761
  5. Step 5: Solve for x
    x = 123,152,566,761/228,002
  6. Step 6: Final answer
    x = 540,138.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.