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Finding the Third Proportional to 191,826.75 and 286,555.50

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Solution

The third proportional to 191,826.75 and 286,555.50 is: 428,063.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,826.75 : 286,555.50 = 286,555.50 : x
  2. Step 2: Convert to fraction form
    191,826.75/286,555.50 = 286,555.50/x
  3. Step 3: Cross multiply
    191,826.75x = 286,555.50 × 286,555.50
  4. Step 4: Simplify right side
    191,826.75x = 82,114,054,580.25
  5. Step 5: Solve for x
    x = 82,114,054,580.25/191,826.75
  6. Step 6: Final answer
    x = 428,063.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.