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Finding the Third Proportional to 218,718 and 337,770

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Solution

The third proportional to 218,718 and 337,770 is: 521,624.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,718 : 337,770 = 337,770 : x
  2. Step 2: Convert to fraction form
    218,718/337,770 = 337,770/x
  3. Step 3: Cross multiply
    218,718x = 337,770 × 337,770
  4. Step 4: Simplify right side
    218,718x = 114,088,572,900
  5. Step 5: Solve for x
    x = 114,088,572,900/218,718
  6. Step 6: Final answer
    x = 521,624.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.