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Finding the Third Proportional to 111,028 and 240,776

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Solution

The third proportional to 111,028 and 240,776 is: 522,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,028 : 240,776 = 240,776 : x
  2. Step 2: Convert to fraction form
    111,028/240,776 = 240,776/x
  3. Step 3: Cross multiply
    111,028x = 240,776 × 240,776
  4. Step 4: Simplify right side
    111,028x = 57,973,082,176
  5. Step 5: Solve for x
    x = 57,973,082,176/111,028
  6. Step 6: Final answer
    x = 522,148.31

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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.