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Finding the Third Proportional to 103,584 and 226,854

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Solution

The third proportional to 103,584 and 226,854 is: 496,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,584 : 226,854 = 226,854 : x
  2. Step 2: Convert to fraction form
    103,584/226,854 = 226,854/x
  3. Step 3: Cross multiply
    103,584x = 226,854 × 226,854
  4. Step 4: Simplify right side
    103,584x = 51,462,737,316
  5. Step 5: Solve for x
    x = 51,462,737,316/103,584
  6. Step 6: Final answer
    x = 496,821.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.