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Finding the Third Proportional to 110,038 and 240,308

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Solution

The third proportional to 110,038 and 240,308 is: 524,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,038 : 240,308 = 240,308 : x
  2. Step 2: Convert to fraction form
    110,038/240,308 = 240,308/x
  3. Step 3: Cross multiply
    110,038x = 240,308 × 240,308
  4. Step 4: Simplify right side
    110,038x = 57,747,934,864
  5. Step 5: Solve for x
    x = 57,747,934,864/110,038
  6. Step 6: Final answer
    x = 524,799.93

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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.