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Finding the Third Proportional to 197,990 and 262,537

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Solution

The third proportional to 197,990 and 262,537 is: 348,127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,990 : 262,537 = 262,537 : x
  2. Step 2: Convert to fraction form
    197,990/262,537 = 262,537/x
  3. Step 3: Cross multiply
    197,990x = 262,537 × 262,537
  4. Step 4: Simplify right side
    197,990x = 68,925,676,369
  5. Step 5: Solve for x
    x = 68,925,676,369/197,990
  6. Step 6: Final answer
    x = 348,127.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.