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Finding the Third Proportional to 163,144 and 361,226

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Solution

The third proportional to 163,144 and 361,226 is: 799,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,144 : 361,226 = 361,226 : x
  2. Step 2: Convert to fraction form
    163,144/361,226 = 361,226/x
  3. Step 3: Cross multiply
    163,144x = 361,226 × 361,226
  4. Step 4: Simplify right side
    163,144x = 130,484,223,076
  5. Step 5: Solve for x
    x = 130,484,223,076/163,144
  6. Step 6: Final answer
    x = 799,810.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.