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Finding the Third Proportional to 218,793 and 357,264

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Solution

The third proportional to 218,793 and 357,264 is: 583,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,793 : 357,264 = 357,264 : x
  2. Step 2: Convert to fraction form
    218,793/357,264 = 357,264/x
  3. Step 3: Cross multiply
    218,793x = 357,264 × 357,264
  4. Step 4: Simplify right side
    218,793x = 127,637,565,696
  5. Step 5: Solve for x
    x = 127,637,565,696/218,793
  6. Step 6: Final answer
    x = 583,371.34

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.