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Finding the Third Proportional to 346 and 540.25

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Solution

The third proportional to 346 and 540.25 is: 843.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    346 : 540.25 = 540.25 : x
  2. Step 2: Convert to fraction form
    346/540.25 = 540.25/x
  3. Step 3: Cross multiply
    346x = 540.25 × 540.25
  4. Step 4: Simplify right side
    346x = 291,870.06
  5. Step 5: Solve for x
    x = 291,870.06/346
  6. Step 6: Final answer
    x = 843.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.