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Finding the Third Proportional to 116,346 and 251,259

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Solution

The third proportional to 116,346 and 251,259 is: 542,615.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,346 : 251,259 = 251,259 : x
  2. Step 2: Convert to fraction form
    116,346/251,259 = 251,259/x
  3. Step 3: Cross multiply
    116,346x = 251,259 × 251,259
  4. Step 4: Simplify right side
    116,346x = 63,131,085,081
  5. Step 5: Solve for x
    x = 63,131,085,081/116,346
  6. Step 6: Final answer
    x = 542,615.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.