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Finding the Third Proportional to 164,598 and 245,814

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Solution

The third proportional to 164,598 and 245,814 is: 367,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,598 : 245,814 = 245,814 : x
  2. Step 2: Convert to fraction form
    164,598/245,814 = 245,814/x
  3. Step 3: Cross multiply
    164,598x = 245,814 × 245,814
  4. Step 4: Simplify right side
    164,598x = 60,424,522,596
  5. Step 5: Solve for x
    x = 60,424,522,596/164,598
  6. Step 6: Final answer
    x = 367,103.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.