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Finding the Third Proportional to 110,084 and 240,184

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Solution

The third proportional to 110,084 and 240,184 is: 524,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,084 : 240,184 = 240,184 : x
  2. Step 2: Convert to fraction form
    110,084/240,184 = 240,184/x
  3. Step 3: Cross multiply
    110,084x = 240,184 × 240,184
  4. Step 4: Simplify right side
    110,084x = 57,688,353,856
  5. Step 5: Solve for x
    x = 57,688,353,856/110,084
  6. Step 6: Final answer
    x = 524,039.40

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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.