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Finding the Third Proportional to 111,026 and 240,772

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Solution

The third proportional to 111,026 and 240,772 is: 522,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,026 : 240,772 = 240,772 : x
  2. Step 2: Convert to fraction form
    111,026/240,772 = 240,772/x
  3. Step 3: Cross multiply
    111,026x = 240,772 × 240,772
  4. Step 4: Simplify right side
    111,026x = 57,971,155,984
  5. Step 5: Solve for x
    x = 57,971,155,984/111,026
  6. Step 6: Final answer
    x = 522,140.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.