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Finding the Third Proportional to 273.90 and 592.00

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Solution

The third proportional to 273.90 and 592.00 is: 1,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.90 : 592.00 = 592.00 : x
  2. Step 2: Convert to fraction form
    273.90/592.00 = 592.00/x
  3. Step 3: Cross multiply
    273.90x = 592.00 × 592.00
  4. Step 4: Simplify right side
    273.90x = 350,459.38
  5. Step 5: Solve for x
    x = 350,459.38/273.90
  6. Step 6: Final answer
    x = 1,279.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.