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Finding the Third Proportional to 191,813.75 and 290,385.75

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Solution

The third proportional to 191,813.75 and 290,385.75 is: 439,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,813.75 : 290,385.75 = 290,385.75 : x
  2. Step 2: Convert to fraction form
    191,813.75/290,385.75 = 290,385.75/x
  3. Step 3: Cross multiply
    191,813.75x = 290,385.75 × 290,385.75
  4. Step 4: Simplify right side
    191,813.75x = 84,323,883,803.06
  5. Step 5: Solve for x
    x = 84,323,883,803.06/191,813.75
  6. Step 6: Final answer
    x = 439,613.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.