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Finding the Third Proportional to 70,303 and 165,953

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Solution

The third proportional to 70,303 and 165,953 is: 391,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,303 : 165,953 = 165,953 : x
  2. Step 2: Convert to fraction form
    70,303/165,953 = 165,953/x
  3. Step 3: Cross multiply
    70,303x = 165,953 × 165,953
  4. Step 4: Simplify right side
    70,303x = 27,540,398,209
  5. Step 5: Solve for x
    x = 27,540,398,209/70,303
  6. Step 6: Final answer
    x = 391,738.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.