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Finding the Third Proportional to 191,600 and 257,752

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Solution

The third proportional to 191,600 and 257,752 is: 346,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,600 : 257,752 = 257,752 : x
  2. Step 2: Convert to fraction form
    191,600/257,752 = 257,752/x
  3. Step 3: Cross multiply
    191,600x = 257,752 × 257,752
  4. Step 4: Simplify right side
    191,600x = 66,436,093,504
  5. Step 5: Solve for x
    x = 66,436,093,504/191,600
  6. Step 6: Final answer
    x = 346,743.70

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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.