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Finding the Third Proportional to 191,848.50 and 268,272

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Solution

The third proportional to 191,848.50 and 268,272 is: 375,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,848.50 : 268,272 = 268,272 : x
  2. Step 2: Convert to fraction form
    191,848.50/268,272 = 268,272/x
  3. Step 3: Cross multiply
    191,848.50x = 268,272 × 268,272
  4. Step 4: Simplify right side
    191,848.50x = 71,969,865,984
  5. Step 5: Solve for x
    x = 71,969,865,984/191,848.50
  6. Step 6: Final answer
    x = 375,139.06

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