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Finding the Third Proportional to 364.13 and 556.88

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Solution

The third proportional to 364.13 and 556.88 is: 851.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.13 : 556.88 = 556.88 : x
  2. Step 2: Convert to fraction form
    364.13/556.88 = 556.88/x
  3. Step 3: Cross multiply
    364.13x = 556.88 × 556.88
  4. Step 4: Simplify right side
    364.13x = 310,109.77
  5. Step 5: Solve for x
    x = 310,109.77/364.13
  6. Step 6: Final answer
    x = 851.66

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Why These Related Problems?

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