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Finding the Third Proportional to 191,635.88 and 403,116.75

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Solution

The third proportional to 191,635.88 and 403,116.75 is: 847,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,635.88 : 403,116.75 = 403,116.75 : x
  2. Step 2: Convert to fraction form
    191,635.88/403,116.75 = 403,116.75/x
  3. Step 3: Cross multiply
    191,635.88x = 403,116.75 × 403,116.75
  4. Step 4: Simplify right side
    191,635.88x = 162,503,114,130.56
  5. Step 5: Solve for x
    x = 162,503,114,130.56/191,635.88
  6. Step 6: Final answer
    x = 847,978.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.