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Finding the Third Proportional to 243,850.50 and 359,214.75

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Solution

The third proportional to 243,850.50 and 359,214.75 is: 529,157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,850.50 : 359,214.75 = 359,214.75 : x
  2. Step 2: Convert to fraction form
    243,850.50/359,214.75 = 359,214.75/x
  3. Step 3: Cross multiply
    243,850.50x = 359,214.75 × 359,214.75
  4. Step 4: Simplify right side
    243,850.50x = 129,035,236,617.56
  5. Step 5: Solve for x
    x = 129,035,236,617.56/243,850.50
  6. Step 6: Final answer
    x = 529,157.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.