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Finding the Third Proportional to 115,684 and 253,508

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Solution

The third proportional to 115,684 and 253,508 is: 555,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,684 : 253,508 = 253,508 : x
  2. Step 2: Convert to fraction form
    115,684/253,508 = 253,508/x
  3. Step 3: Cross multiply
    115,684x = 253,508 × 253,508
  4. Step 4: Simplify right side
    115,684x = 64,266,306,064
  5. Step 5: Solve for x
    x = 64,266,306,064/115,684
  6. Step 6: Final answer
    x = 555,533.23

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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.