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Finding the Third Proportional to 218,565 and 347,539.50

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Solution

The third proportional to 218,565 and 347,539.50 is: 552,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,565 : 347,539.50 = 347,539.50 : x
  2. Step 2: Convert to fraction form
    218,565/347,539.50 = 347,539.50/x
  3. Step 3: Cross multiply
    218,565x = 347,539.50 × 347,539.50
  4. Step 4: Simplify right side
    218,565x = 120,783,704,060.25
  5. Step 5: Solve for x
    x = 120,783,704,060.25/218,565
  6. Step 6: Final answer
    x = 552,621.44

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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.