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Finding the Third Proportional to 182,214 and 254,798

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Solution

The third proportional to 182,214 and 254,798 is: 356,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,214 : 254,798 = 254,798 : x
  2. Step 2: Convert to fraction form
    182,214/254,798 = 254,798/x
  3. Step 3: Cross multiply
    182,214x = 254,798 × 254,798
  4. Step 4: Simplify right side
    182,214x = 64,922,020,804
  5. Step 5: Solve for x
    x = 64,922,020,804/182,214
  6. Step 6: Final answer
    x = 356,295.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.