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Finding the Third Proportional to 191,504 and 257,610

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Solution

The third proportional to 191,504 and 257,610 is: 346,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,504 : 257,610 = 257,610 : x
  2. Step 2: Convert to fraction form
    191,504/257,610 = 257,610/x
  3. Step 3: Cross multiply
    191,504x = 257,610 × 257,610
  4. Step 4: Simplify right side
    191,504x = 66,362,912,100
  5. Step 5: Solve for x
    x = 66,362,912,100/191,504
  6. Step 6: Final answer
    x = 346,535.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.