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Finding the Third Proportional to 137,254 and 219,184

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Solution

The third proportional to 137,254 and 219,184 is: 350,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,254 : 219,184 = 219,184 : x
  2. Step 2: Convert to fraction form
    137,254/219,184 = 219,184/x
  3. Step 3: Cross multiply
    137,254x = 219,184 × 219,184
  4. Step 4: Simplify right side
    137,254x = 48,041,625,856
  5. Step 5: Solve for x
    x = 48,041,625,856/137,254
  6. Step 6: Final answer
    x = 350,019.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.