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Finding the Third Proportional to 194,189.63 and 415,363.50

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Solution

The third proportional to 194,189.63 and 415,363.50 is: 888,445.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,189.63 : 415,363.50 = 415,363.50 : x
  2. Step 2: Convert to fraction form
    194,189.63/415,363.50 = 415,363.50/x
  3. Step 3: Cross multiply
    194,189.63x = 415,363.50 × 415,363.50
  4. Step 4: Simplify right side
    194,189.63x = 172,526,837,132.25
  5. Step 5: Solve for x
    x = 172,526,837,132.25/194,189.63
  6. Step 6: Final answer
    x = 888,445.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.