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Finding the Third Proportional to 163,461 and 225,102

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Solution

The third proportional to 163,461 and 225,102 is: 309,987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,461 : 225,102 = 225,102 : x
  2. Step 2: Convert to fraction form
    163,461/225,102 = 225,102/x
  3. Step 3: Cross multiply
    163,461x = 225,102 × 225,102
  4. Step 4: Simplify right side
    163,461x = 50,670,910,404
  5. Step 5: Solve for x
    x = 50,670,910,404/163,461
  6. Step 6: Final answer
    x = 309,987.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.