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Finding the Third Proportional to 164,045 and 253,326

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Solution

The third proportional to 164,045 and 253,326 is: 391,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,045 : 253,326 = 253,326 : x
  2. Step 2: Convert to fraction form
    164,045/253,326 = 253,326/x
  3. Step 3: Cross multiply
    164,045x = 253,326 × 253,326
  4. Step 4: Simplify right side
    164,045x = 64,174,062,276
  5. Step 5: Solve for x
    x = 64,174,062,276/164,045
  6. Step 6: Final answer
    x = 391,197.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.