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Finding the Third Proportional to 345.42 and 525.47

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Solution

The third proportional to 345.42 and 525.47 is: 799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.42 : 525.47 = 525.47 : x
  2. Step 2: Convert to fraction form
    345.42/525.47 = 525.47/x
  3. Step 3: Cross multiply
    345.42x = 525.47 × 525.47
  4. Step 4: Simplify right side
    345.42x = 276,117.41
  5. Step 5: Solve for x
    x = 276,117.41/345.42
  6. Step 6: Final answer
    x = 799.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.