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Finding the Third Proportional to 184,527 and 235,791

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Solution

The third proportional to 184,527 and 235,791 is: 301,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,527 : 235,791 = 235,791 : x
  2. Step 2: Convert to fraction form
    184,527/235,791 = 235,791/x
  3. Step 3: Cross multiply
    184,527x = 235,791 × 235,791
  4. Step 4: Simplify right side
    184,527x = 55,597,395,681
  5. Step 5: Solve for x
    x = 55,597,395,681/184,527
  6. Step 6: Final answer
    x = 301,296.81

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.