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Finding the Third Proportional to 111,772 and 243,272

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Solution

The third proportional to 111,772 and 243,272 is: 529,482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,772 : 243,272 = 243,272 : x
  2. Step 2: Convert to fraction form
    111,772/243,272 = 243,272/x
  3. Step 3: Cross multiply
    111,772x = 243,272 × 243,272
  4. Step 4: Simplify right side
    111,772x = 59,181,265,984
  5. Step 5: Solve for x
    x = 59,181,265,984/111,772
  6. Step 6: Final answer
    x = 529,482.03

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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.