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Finding the Third Proportional to 189,841.50 and 417,579

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Solution

The third proportional to 189,841.50 and 417,579 is: 918,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,841.50 : 417,579 = 417,579 : x
  2. Step 2: Convert to fraction form
    189,841.50/417,579 = 417,579/x
  3. Step 3: Cross multiply
    189,841.50x = 417,579 × 417,579
  4. Step 4: Simplify right side
    189,841.50x = 174,372,221,241
  5. Step 5: Solve for x
    x = 174,372,221,241/189,841.50
  6. Step 6: Final answer
    x = 918,514.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.