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Finding the Third Proportional to 107,284 and 228,428

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Solution

The third proportional to 107,284 and 228,428 is: 486,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,284 : 228,428 = 228,428 : x
  2. Step 2: Convert to fraction form
    107,284/228,428 = 228,428/x
  3. Step 3: Cross multiply
    107,284x = 228,428 × 228,428
  4. Step 4: Simplify right side
    107,284x = 52,179,351,184
  5. Step 5: Solve for x
    x = 52,179,351,184/107,284
  6. Step 6: Final answer
    x = 486,366.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.