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Finding the Third Proportional to 341.02 and 543.59

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Solution

The third proportional to 341.02 and 543.59 is: 866.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.02 : 543.59 = 543.59 : x
  2. Step 2: Convert to fraction form
    341.02/543.59 = 543.59/x
  3. Step 3: Cross multiply
    341.02x = 543.59 × 543.59
  4. Step 4: Simplify right side
    341.02x = 295,485.67
  5. Step 5: Solve for x
    x = 295,485.67/341.02
  6. Step 6: Final answer
    x = 866.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.