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Finding the Third Proportional to 116,845 and 253,373

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Solution

The third proportional to 116,845 and 253,373 is: 549,427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,845 : 253,373 = 253,373 : x
  2. Step 2: Convert to fraction form
    116,845/253,373 = 253,373/x
  3. Step 3: Cross multiply
    116,845x = 253,373 × 253,373
  4. Step 4: Simplify right side
    116,845x = 64,197,877,129
  5. Step 5: Solve for x
    x = 64,197,877,129/116,845
  6. Step 6: Final answer
    x = 549,427.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.