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Finding the Third Proportional to 191,658 and 295,483

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Solution

The third proportional to 191,658 and 295,483 is: 455,552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,658 : 295,483 = 295,483 : x
  2. Step 2: Convert to fraction form
    191,658/295,483 = 295,483/x
  3. Step 3: Cross multiply
    191,658x = 295,483 × 295,483
  4. Step 4: Simplify right side
    191,658x = 87,310,203,289
  5. Step 5: Solve for x
    x = 87,310,203,289/191,658
  6. Step 6: Final answer
    x = 455,552.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.