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Finding the Third Proportional to 191,170.50 and 286,827.75

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Solution

The third proportional to 191,170.50 and 286,827.75 is: 430,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,170.50 : 286,827.75 = 286,827.75 : x
  2. Step 2: Convert to fraction form
    191,170.50/286,827.75 = 286,827.75/x
  3. Step 3: Cross multiply
    191,170.50x = 286,827.75 × 286,827.75
  4. Step 4: Simplify right side
    191,170.50x = 82,270,158,170.06
  5. Step 5: Solve for x
    x = 82,270,158,170.06/191,170.50
  6. Step 6: Final answer
    x = 430,349.65

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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.