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Finding the Third Proportional to 111,402 and 234,468

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Solution

The third proportional to 111,402 and 234,468 is: 493,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,402 : 234,468 = 234,468 : x
  2. Step 2: Convert to fraction form
    111,402/234,468 = 234,468/x
  3. Step 3: Cross multiply
    111,402x = 234,468 × 234,468
  4. Step 4: Simplify right side
    111,402x = 54,975,243,024
  5. Step 5: Solve for x
    x = 54,975,243,024/111,402
  6. Step 6: Final answer
    x = 493,485.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.