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Finding the Third Proportional to 167,346 and 254,944.69

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Solution

The third proportional to 167,346 and 254,944.69 is: 388,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,346 : 254,944.69 = 254,944.69 : x
  2. Step 2: Convert to fraction form
    167,346/254,944.69 = 254,944.69/x
  3. Step 3: Cross multiply
    167,346x = 254,944.69 × 254,944.69
  4. Step 4: Simplify right side
    167,346x = 64,996,793,684.47
  5. Step 5: Solve for x
    x = 64,996,793,684.47/167,346
  6. Step 6: Final answer
    x = 388,397.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.