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Finding the Third Proportional to 197,957.67 and 268,949.74

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Solution

The third proportional to 197,957.67 and 268,949.74 is: 365,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,957.67 : 268,949.74 = 268,949.74 : x
  2. Step 2: Convert to fraction form
    197,957.67/268,949.74 = 268,949.74/x
  3. Step 3: Cross multiply
    197,957.67x = 268,949.74 × 268,949.74
  4. Step 4: Simplify right side
    197,957.67x = 72,333,963,822.72
  5. Step 5: Solve for x
    x = 72,333,963,822.72/197,957.67
  6. Step 6: Final answer
    x = 365,401.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.