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Finding the Third Proportional to 111,708 and 243,073

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Solution

The third proportional to 111,708 and 243,073 is: 528,919.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,708 : 243,073 = 243,073 : x
  2. Step 2: Convert to fraction form
    111,708/243,073 = 243,073/x
  3. Step 3: Cross multiply
    111,708x = 243,073 × 243,073
  4. Step 4: Simplify right side
    111,708x = 59,084,483,329
  5. Step 5: Solve for x
    x = 59,084,483,329/111,708
  6. Step 6: Final answer
    x = 528,919.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.