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Finding the Third Proportional to 107,368 and 228,596

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Solution

The third proportional to 107,368 and 228,596 is: 486,701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,368 : 228,596 = 228,596 : x
  2. Step 2: Convert to fraction form
    107,368/228,596 = 228,596/x
  3. Step 3: Cross multiply
    107,368x = 228,596 × 228,596
  4. Step 4: Simplify right side
    107,368x = 52,256,131,216
  5. Step 5: Solve for x
    x = 52,256,131,216/107,368
  6. Step 6: Final answer
    x = 486,701.17

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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.