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Finding the Third Proportional to 179,301 and 386,264

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Solution

The third proportional to 179,301 and 386,264 is: 832,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,301 : 386,264 = 386,264 : x
  2. Step 2: Convert to fraction form
    179,301/386,264 = 386,264/x
  3. Step 3: Cross multiply
    179,301x = 386,264 × 386,264
  4. Step 4: Simplify right side
    179,301x = 149,199,877,696
  5. Step 5: Solve for x
    x = 149,199,877,696/179,301
  6. Step 6: Final answer
    x = 832,119.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.