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Finding the Third Proportional to 107,283 and 228,426

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Solution

The third proportional to 107,283 and 228,426 is: 486,362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,283 : 228,426 = 228,426 : x
  2. Step 2: Convert to fraction form
    107,283/228,426 = 228,426/x
  3. Step 3: Cross multiply
    107,283x = 228,426 × 228,426
  4. Step 4: Simplify right side
    107,283x = 52,178,437,476
  5. Step 5: Solve for x
    x = 52,178,437,476/107,283
  6. Step 6: Final answer
    x = 486,362.59

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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.