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Finding the Third Proportional to 134,134 and 201,217

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Solution

The third proportional to 134,134 and 201,217 is: 301,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,134 : 201,217 = 201,217 : x
  2. Step 2: Convert to fraction form
    134,134/201,217 = 201,217/x
  3. Step 3: Cross multiply
    134,134x = 201,217 × 201,217
  4. Step 4: Simplify right side
    134,134x = 40,488,281,089
  5. Step 5: Solve for x
    x = 40,488,281,089/134,134
  6. Step 6: Final answer
    x = 301,849.50

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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.