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Finding the Third Proportional to 176,275 and 257,029

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Solution

The third proportional to 176,275 and 257,029 is: 374,777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,275 : 257,029 = 257,029 : x
  2. Step 2: Convert to fraction form
    176,275/257,029 = 257,029/x
  3. Step 3: Cross multiply
    176,275x = 257,029 × 257,029
  4. Step 4: Simplify right side
    176,275x = 66,063,906,841
  5. Step 5: Solve for x
    x = 66,063,906,841/176,275
  6. Step 6: Final answer
    x = 374,777.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.