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Finding the Third Proportional to 175.63 and 265.88

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Solution

The third proportional to 175.63 and 265.88 is: 402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.63 : 265.88 = 265.88 : x
  2. Step 2: Convert to fraction form
    175.63/265.88 = 265.88/x
  3. Step 3: Cross multiply
    175.63x = 265.88 × 265.88
  4. Step 4: Simplify right side
    175.63x = 70,689.52
  5. Step 5: Solve for x
    x = 70,689.52/175.63
  6. Step 6: Final answer
    x = 402.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.