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Finding the Third Proportional to 184,770 and 257,431

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Solution

The third proportional to 184,770 and 257,431 is: 358,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,770 : 257,431 = 257,431 : x
  2. Step 2: Convert to fraction form
    184,770/257,431 = 257,431/x
  3. Step 3: Cross multiply
    184,770x = 257,431 × 257,431
  4. Step 4: Simplify right side
    184,770x = 66,270,719,761
  5. Step 5: Solve for x
    x = 66,270,719,761/184,770
  6. Step 6: Final answer
    x = 358,666.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.