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Finding the Third Proportional to 220,742 and 341,723.50

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Solution

The third proportional to 220,742 and 341,723.50 is: 529,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,742 : 341,723.50 = 341,723.50 : x
  2. Step 2: Convert to fraction form
    220,742/341,723.50 = 341,723.50/x
  3. Step 3: Cross multiply
    220,742x = 341,723.50 × 341,723.50
  4. Step 4: Simplify right side
    220,742x = 116,774,950,452.25
  5. Step 5: Solve for x
    x = 116,774,950,452.25/220,742
  6. Step 6: Final answer
    x = 529,011.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.