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Finding the Third Proportional to 243,690.75 and 365,536.13

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Solution

The third proportional to 243,690.75 and 365,536.13 is: 548,304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,690.75 : 365,536.13 = 365,536.13 : x
  2. Step 2: Convert to fraction form
    243,690.75/365,536.13 = 365,536.13/x
  3. Step 3: Cross multiply
    243,690.75x = 365,536.13 × 365,536.13
  4. Step 4: Simplify right side
    243,690.75x = 133,616,658,680.02
  5. Step 5: Solve for x
    x = 133,616,658,680.02/243,690.75
  6. Step 6: Final answer
    x = 548,304.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.