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Finding the Third Proportional to 107,352 and 228,576

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Solution

The third proportional to 107,352 and 228,576 is: 486,688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,352 : 228,576 = 228,576 : x
  2. Step 2: Convert to fraction form
    107,352/228,576 = 228,576/x
  3. Step 3: Cross multiply
    107,352x = 228,576 × 228,576
  4. Step 4: Simplify right side
    107,352x = 52,246,987,776
  5. Step 5: Solve for x
    x = 52,246,987,776/107,352
  6. Step 6: Final answer
    x = 486,688.54

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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.