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Finding the Third Proportional to 191,653.50 and 287,940

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Solution

The third proportional to 191,653.50 and 287,940 is: 432,600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,653.50 : 287,940 = 287,940 : x
  2. Step 2: Convert to fraction form
    191,653.50/287,940 = 287,940/x
  3. Step 3: Cross multiply
    191,653.50x = 287,940 × 287,940
  4. Step 4: Simplify right side
    191,653.50x = 82,909,443,600
  5. Step 5: Solve for x
    x = 82,909,443,600/191,653.50
  6. Step 6: Final answer
    x = 432,600.73

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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.