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Finding the Third Proportional to 239,114 and 358,212

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Solution

The third proportional to 239,114 and 358,212 is: 536,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,114 : 358,212 = 358,212 : x
  2. Step 2: Convert to fraction form
    239,114/358,212 = 358,212/x
  3. Step 3: Cross multiply
    239,114x = 358,212 × 358,212
  4. Step 4: Simplify right side
    239,114x = 128,315,836,944
  5. Step 5: Solve for x
    x = 128,315,836,944/239,114
  6. Step 6: Final answer
    x = 536,630.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.