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Finding the Third Proportional to 191.32 and 314.51

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Solution

The third proportional to 191.32 and 314.51 is: 517.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.32 : 314.51 = 314.51 : x
  2. Step 2: Convert to fraction form
    191.32/314.51 = 314.51/x
  3. Step 3: Cross multiply
    191.32x = 314.51 × 314.51
  4. Step 4: Simplify right side
    191.32x = 98,915.16
  5. Step 5: Solve for x
    x = 98,915.16/191.32
  6. Step 6: Final answer
    x = 517.01

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.