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Finding the Third Proportional to 218,417 and 347,297.50

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Solution

The third proportional to 218,417 and 347,297.50 is: 552,226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,417 : 347,297.50 = 347,297.50 : x
  2. Step 2: Convert to fraction form
    218,417/347,297.50 = 347,297.50/x
  3. Step 3: Cross multiply
    218,417x = 347,297.50 × 347,297.50
  4. Step 4: Simplify right side
    218,417x = 120,615,553,506.25
  5. Step 5: Solve for x
    x = 120,615,553,506.25/218,417
  6. Step 6: Final answer
    x = 552,226.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.