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Finding the Third Proportional to 191,173 and 286,832

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Solution

The third proportional to 191,173 and 286,832 is: 430,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,173 : 286,832 = 286,832 : x
  2. Step 2: Convert to fraction form
    191,173/286,832 = 286,832/x
  3. Step 3: Cross multiply
    191,173x = 286,832 × 286,832
  4. Step 4: Simplify right side
    191,173x = 82,272,596,224
  5. Step 5: Solve for x
    x = 82,272,596,224/191,173
  6. Step 6: Final answer
    x = 430,356.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.