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Finding the Third Proportional to 191,772 and 300,213

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Solution

The third proportional to 191,772 and 300,213 is: 469,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,772 : 300,213 = 300,213 : x
  2. Step 2: Convert to fraction form
    191,772/300,213 = 300,213/x
  3. Step 3: Cross multiply
    191,772x = 300,213 × 300,213
  4. Step 4: Simplify right side
    191,772x = 90,127,845,369
  5. Step 5: Solve for x
    x = 90,127,845,369/191,772
  6. Step 6: Final answer
    x = 469,973.96

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.