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Finding the Third Proportional to 341.50 and 542.50

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Solution

The third proportional to 341.50 and 542.50 is: 861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.50 : 542.50 = 542.50 : x
  2. Step 2: Convert to fraction form
    341.50/542.50 = 542.50/x
  3. Step 3: Cross multiply
    341.50x = 542.50 × 542.50
  4. Step 4: Simplify right side
    341.50x = 294,306.25
  5. Step 5: Solve for x
    x = 294,306.25/341.50
  6. Step 6: Final answer
    x = 861.80

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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.