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Finding the Third Proportional to 346.25 and 529.38

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Solution

The third proportional to 346.25 and 529.38 is: 809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.25 : 529.38 = 529.38 : x
  2. Step 2: Convert to fraction form
    346.25/529.38 = 529.38/x
  3. Step 3: Cross multiply
    346.25x = 529.38 × 529.38
  4. Step 4: Simplify right side
    346.25x = 280,237.89
  5. Step 5: Solve for x
    x = 280,237.89/346.25
  6. Step 6: Final answer
    x = 809.35

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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.