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Finding the Third Proportional to 228,228 and 302,904

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Solution

The third proportional to 228,228 and 302,904 is: 402,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,228 : 302,904 = 302,904 : x
  2. Step 2: Convert to fraction form
    228,228/302,904 = 302,904/x
  3. Step 3: Cross multiply
    228,228x = 302,904 × 302,904
  4. Step 4: Simplify right side
    228,228x = 91,750,833,216
  5. Step 5: Solve for x
    x = 91,750,833,216/228,228
  6. Step 6: Final answer
    x = 402,013.92

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.