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Finding the Third Proportional to 191,925 and 293,753.25

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Solution

The third proportional to 191,925 and 293,753.25 is: 449,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,925 : 293,753.25 = 293,753.25 : x
  2. Step 2: Convert to fraction form
    191,925/293,753.25 = 293,753.25/x
  3. Step 3: Cross multiply
    191,925x = 293,753.25 × 293,753.25
  4. Step 4: Simplify right side
    191,925x = 86,290,971,885.56
  5. Step 5: Solve for x
    x = 86,290,971,885.56/191,925
  6. Step 6: Final answer
    x = 449,607.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.