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Finding the Third Proportional to 265.13 and 716.81

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Solution

The third proportional to 265.13 and 716.81 is: 1,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.13 : 716.81 = 716.81 : x
  2. Step 2: Convert to fraction form
    265.13/716.81 = 716.81/x
  3. Step 3: Cross multiply
    265.13x = 716.81 × 716.81
  4. Step 4: Simplify right side
    265.13x = 513,820.16
  5. Step 5: Solve for x
    x = 513,820.16/265.13
  6. Step 6: Final answer
    x = 1,938.03

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.