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Finding the Third Proportional to 149,298 and 226,316

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Solution

The third proportional to 149,298 and 226,316 is: 343,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,298 : 226,316 = 226,316 : x
  2. Step 2: Convert to fraction form
    149,298/226,316 = 226,316/x
  3. Step 3: Cross multiply
    149,298x = 226,316 × 226,316
  4. Step 4: Simplify right side
    149,298x = 51,218,931,856
  5. Step 5: Solve for x
    x = 51,218,931,856/149,298
  6. Step 6: Final answer
    x = 343,065.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.