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Finding the Third Proportional to 191,623.50 and 403,089.75

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Solution

The third proportional to 191,623.50 and 403,089.75 is: 847,919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,623.50 : 403,089.75 = 403,089.75 : x
  2. Step 2: Convert to fraction form
    191,623.50/403,089.75 = 403,089.75/x
  3. Step 3: Cross multiply
    191,623.50x = 403,089.75 × 403,089.75
  4. Step 4: Simplify right side
    191,623.50x = 162,481,346,555.06
  5. Step 5: Solve for x
    x = 162,481,346,555.06/191,623.50
  6. Step 6: Final answer
    x = 847,919.73

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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.