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Finding the Third Proportional to 230,856 and 346,953

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Solution

The third proportional to 230,856 and 346,953 is: 521,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,856 : 346,953 = 346,953 : x
  2. Step 2: Convert to fraction form
    230,856/346,953 = 346,953/x
  3. Step 3: Cross multiply
    230,856x = 346,953 × 346,953
  4. Step 4: Simplify right side
    230,856x = 120,376,384,209
  5. Step 5: Solve for x
    x = 120,376,384,209/230,856
  6. Step 6: Final answer
    x = 521,434.94

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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.