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Finding the Third Proportional to 191,272 and 295,136

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Solution

The third proportional to 191,272 and 295,136 is: 455,399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,272 : 295,136 = 295,136 : x
  2. Step 2: Convert to fraction form
    191,272/295,136 = 295,136/x
  3. Step 3: Cross multiply
    191,272x = 295,136 × 295,136
  4. Step 4: Simplify right side
    191,272x = 87,105,258,496
  5. Step 5: Solve for x
    x = 87,105,258,496/191,272
  6. Step 6: Final answer
    x = 455,399.95

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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.