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Finding the Third Proportional to 182,196 and 254,772

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Solution

The third proportional to 182,196 and 254,772 is: 356,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,196 : 254,772 = 254,772 : x
  2. Step 2: Convert to fraction form
    182,196/254,772 = 254,772/x
  3. Step 3: Cross multiply
    182,196x = 254,772 × 254,772
  4. Step 4: Simplify right side
    182,196x = 64,908,771,984
  5. Step 5: Solve for x
    x = 64,908,771,984/182,196
  6. Step 6: Final answer
    x = 356,257.94

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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.