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Finding the Third Proportional to 115,735 and 253,628

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Solution

The third proportional to 115,735 and 253,628 is: 555,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,735 : 253,628 = 253,628 : x
  2. Step 2: Convert to fraction form
    115,735/253,628 = 253,628/x
  3. Step 3: Cross multiply
    115,735x = 253,628 × 253,628
  4. Step 4: Simplify right side
    115,735x = 64,327,162,384
  5. Step 5: Solve for x
    x = 64,327,162,384/115,735
  6. Step 6: Final answer
    x = 555,814.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.