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Finding the Third Proportional to 149,246 and 236,319

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Solution

The third proportional to 149,246 and 236,319 is: 374,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,246 : 236,319 = 236,319 : x
  2. Step 2: Convert to fraction form
    149,246/236,319 = 236,319/x
  3. Step 3: Cross multiply
    149,246x = 236,319 × 236,319
  4. Step 4: Simplify right side
    149,246x = 55,846,669,761
  5. Step 5: Solve for x
    x = 55,846,669,761/149,246
  6. Step 6: Final answer
    x = 374,192.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.