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Finding the Third Proportional to 110,485 and 240,658

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Solution

The third proportional to 110,485 and 240,658 is: 524,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,485 : 240,658 = 240,658 : x
  2. Step 2: Convert to fraction form
    110,485/240,658 = 240,658/x
  3. Step 3: Cross multiply
    110,485x = 240,658 × 240,658
  4. Step 4: Simplify right side
    110,485x = 57,916,272,964
  5. Step 5: Solve for x
    x = 57,916,272,964/110,485
  6. Step 6: Final answer
    x = 524,200.33

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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.