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Finding the Third Proportional to 149,300 and 219,594

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Solution

The third proportional to 149,300 and 219,594 is: 322,984.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,300 : 219,594 = 219,594 : x
  2. Step 2: Convert to fraction form
    149,300/219,594 = 219,594/x
  3. Step 3: Cross multiply
    149,300x = 219,594 × 219,594
  4. Step 4: Simplify right side
    149,300x = 48,221,524,836
  5. Step 5: Solve for x
    x = 48,221,524,836/149,300
  6. Step 6: Final answer
    x = 322,984.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.