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Finding the Third Proportional to 116,343 and 254,475

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Solution

The third proportional to 116,343 and 254,475 is: 556,608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,343 : 254,475 = 254,475 : x
  2. Step 2: Convert to fraction form
    116,343/254,475 = 254,475/x
  3. Step 3: Cross multiply
    116,343x = 254,475 × 254,475
  4. Step 4: Simplify right side
    116,343x = 64,757,525,625
  5. Step 5: Solve for x
    x = 64,757,525,625/116,343
  6. Step 6: Final answer
    x = 556,608.70

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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.