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Finding the Third Proportional to 191,687.25 and 296,501.63

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Solution

The third proportional to 191,687.25 and 296,501.63 is: 458,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,687.25 : 296,501.63 = 296,501.63 : x
  2. Step 2: Convert to fraction form
    191,687.25/296,501.63 = 296,501.63/x
  3. Step 3: Cross multiply
    191,687.25x = 296,501.63 × 296,501.63
  4. Step 4: Simplify right side
    191,687.25x = 87,913,213,627.64
  5. Step 5: Solve for x
    x = 87,913,213,627.64/191,687.25
  6. Step 6: Final answer
    x = 458,628.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.