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Finding the Third Proportional to 191,748 and 268,164

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Solution

The third proportional to 191,748 and 268,164 is: 375,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,748 : 268,164 = 268,164 : x
  2. Step 2: Convert to fraction form
    191,748/268,164 = 268,164/x
  3. Step 3: Cross multiply
    191,748x = 268,164 × 268,164
  4. Step 4: Simplify right side
    191,748x = 71,911,930,896
  5. Step 5: Solve for x
    x = 71,911,930,896/191,748
  6. Step 6: Final answer
    x = 375,033.54

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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.