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Finding the Third Proportional to 167,901 and 253,468.50

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Solution

The third proportional to 167,901 and 253,468.50 is: 382,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,901 : 253,468.50 = 253,468.50 : x
  2. Step 2: Convert to fraction form
    167,901/253,468.50 = 253,468.50/x
  3. Step 3: Cross multiply
    167,901x = 253,468.50 × 253,468.50
  4. Step 4: Simplify right side
    167,901x = 64,246,280,492.25
  5. Step 5: Solve for x
    x = 64,246,280,492.25/167,901
  6. Step 6: Final answer
    x = 382,643.82

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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.