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Finding the Third Proportional to 145,068 and 221,918

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Solution

The third proportional to 145,068 and 221,918 is: 339,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,068 : 221,918 = 221,918 : x
  2. Step 2: Convert to fraction form
    145,068/221,918 = 221,918/x
  3. Step 3: Cross multiply
    145,068x = 221,918 × 221,918
  4. Step 4: Simplify right side
    145,068x = 49,247,598,724
  5. Step 5: Solve for x
    x = 49,247,598,724/145,068
  6. Step 6: Final answer
    x = 339,479.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.