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Finding the Third Proportional to 106,603 and 229,340

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Solution

The third proportional to 106,603 and 229,340 is: 493,389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,603 : 229,340 = 229,340 : x
  2. Step 2: Convert to fraction form
    106,603/229,340 = 229,340/x
  3. Step 3: Cross multiply
    106,603x = 229,340 × 229,340
  4. Step 4: Simplify right side
    106,603x = 52,596,835,600
  5. Step 5: Solve for x
    x = 52,596,835,600/106,603
  6. Step 6: Final answer
    x = 493,389.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.