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Finding the Third Proportional to 107,382 and 228,588

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Solution

The third proportional to 107,382 and 228,588 is: 486,603.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,382 : 228,588 = 228,588 : x
  2. Step 2: Convert to fraction form
    107,382/228,588 = 228,588/x
  3. Step 3: Cross multiply
    107,382x = 228,588 × 228,588
  4. Step 4: Simplify right side
    107,382x = 52,252,473,744
  5. Step 5: Solve for x
    x = 52,252,473,744/107,382
  6. Step 6: Final answer
    x = 486,603.66

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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.