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Finding the Third Proportional to 228,248 and 302,928

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Solution

The third proportional to 228,248 and 302,928 is: 402,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,248 : 302,928 = 302,928 : x
  2. Step 2: Convert to fraction form
    228,248/302,928 = 302,928/x
  3. Step 3: Cross multiply
    228,248x = 302,928 × 302,928
  4. Step 4: Simplify right side
    228,248x = 91,765,373,184
  5. Step 5: Solve for x
    x = 91,765,373,184/228,248
  6. Step 6: Final answer
    x = 402,042.40

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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.