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Finding the Third Proportional to 145,596 and 219,420

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Solution

The third proportional to 145,596 and 219,420 is: 330,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,596 : 219,420 = 219,420 : x
  2. Step 2: Convert to fraction form
    145,596/219,420 = 219,420/x
  3. Step 3: Cross multiply
    145,596x = 219,420 × 219,420
  4. Step 4: Simplify right side
    145,596x = 48,145,136,400
  5. Step 5: Solve for x
    x = 48,145,136,400/145,596
  6. Step 6: Final answer
    x = 330,676.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.