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Finding the Third Proportional to 134,234 and 201,338

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Solution

The third proportional to 134,234 and 201,338 is: 301,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,234 : 201,338 = 201,338 : x
  2. Step 2: Convert to fraction form
    134,234/201,338 = 201,338/x
  3. Step 3: Cross multiply
    134,234x = 201,338 × 201,338
  4. Step 4: Simplify right side
    134,234x = 40,536,990,244
  5. Step 5: Solve for x
    x = 40,536,990,244/134,234
  6. Step 6: Final answer
    x = 301,987.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.