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Finding the Third Proportional to 128,297 and 184,807

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Solution

The third proportional to 128,297 and 184,807 is: 266,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,297 : 184,807 = 184,807 : x
  2. Step 2: Convert to fraction form
    128,297/184,807 = 184,807/x
  3. Step 3: Cross multiply
    128,297x = 184,807 × 184,807
  4. Step 4: Simplify right side
    128,297x = 34,153,627,249
  5. Step 5: Solve for x
    x = 34,153,627,249/128,297
  6. Step 6: Final answer
    x = 266,207.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.