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Finding the Third Proportional to 163,802 and 246,857.50

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Solution

The third proportional to 163,802 and 246,857.50 is: 372,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,802 : 246,857.50 = 246,857.50 : x
  2. Step 2: Convert to fraction form
    163,802/246,857.50 = 246,857.50/x
  3. Step 3: Cross multiply
    163,802x = 246,857.50 × 246,857.50
  4. Step 4: Simplify right side
    163,802x = 60,938,625,306.25
  5. Step 5: Solve for x
    x = 60,938,625,306.25/163,802
  6. Step 6: Final answer
    x = 372,026.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.