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Finding the Third Proportional to 142,726 and 219,466

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Solution

The third proportional to 142,726 and 219,466 is: 337,467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,726 : 219,466 = 219,466 : x
  2. Step 2: Convert to fraction form
    142,726/219,466 = 219,466/x
  3. Step 3: Cross multiply
    142,726x = 219,466 × 219,466
  4. Step 4: Simplify right side
    142,726x = 48,165,325,156
  5. Step 5: Solve for x
    x = 48,165,325,156/142,726
  6. Step 6: Final answer
    x = 337,467.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.