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Finding the Third Proportional to 106,423 and 229,455

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Solution

The third proportional to 106,423 and 229,455 is: 494,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,423 : 229,455 = 229,455 : x
  2. Step 2: Convert to fraction form
    106,423/229,455 = 229,455/x
  3. Step 3: Cross multiply
    106,423x = 229,455 × 229,455
  4. Step 4: Simplify right side
    106,423x = 52,649,597,025
  5. Step 5: Solve for x
    x = 52,649,597,025/106,423
  6. Step 6: Final answer
    x = 494,720.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.