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Finding the Third Proportional to 228,384 and 351,312

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Solution

The third proportional to 228,384 and 351,312 is: 540,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,384 : 351,312 = 351,312 : x
  2. Step 2: Convert to fraction form
    228,384/351,312 = 351,312/x
  3. Step 3: Cross multiply
    228,384x = 351,312 × 351,312
  4. Step 4: Simplify right side
    228,384x = 123,420,121,344
  5. Step 5: Solve for x
    x = 123,420,121,344/228,384
  6. Step 6: Final answer
    x = 540,406.16

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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.