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Finding the Third Proportional to 114,298 and 175,791

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Solution

The third proportional to 114,298 and 175,791 is: 270,367.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,298 : 175,791 = 175,791 : x
  2. Step 2: Convert to fraction form
    114,298/175,791 = 175,791/x
  3. Step 3: Cross multiply
    114,298x = 175,791 × 175,791
  4. Step 4: Simplify right side
    114,298x = 30,902,475,681
  5. Step 5: Solve for x
    x = 30,902,475,681/114,298
  6. Step 6: Final answer
    x = 270,367.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.