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Finding the Third Proportional to 265.88 and 410.72

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Solution

The third proportional to 265.88 and 410.72 is: 634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.88 : 410.72 = 410.72 : x
  2. Step 2: Convert to fraction form
    265.88/410.72 = 410.72/x
  3. Step 3: Cross multiply
    265.88x = 410.72 × 410.72
  4. Step 4: Simplify right side
    265.88x = 168,689.89
  5. Step 5: Solve for x
    x = 168,689.89/265.88
  6. Step 6: Final answer
    x = 634.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.