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Finding the Third Proportional to 249.47 and 526.01

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Solution

The third proportional to 249.47 and 526.01 is: 1,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.47 : 526.01 = 526.01 : x
  2. Step 2: Convert to fraction form
    249.47/526.01 = 526.01/x
  3. Step 3: Cross multiply
    249.47x = 526.01 × 526.01
  4. Step 4: Simplify right side
    249.47x = 276,684.22
  5. Step 5: Solve for x
    x = 276,684.22/249.47
  6. Step 6: Final answer
    x = 1,109.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.