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Finding the Third Proportional to 189,042.19 and 415,354.50

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Solution

The third proportional to 189,042.19 and 415,354.50 is: 912,597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,042.19 : 415,354.50 = 415,354.50 : x
  2. Step 2: Convert to fraction form
    189,042.19/415,354.50 = 415,354.50/x
  3. Step 3: Cross multiply
    189,042.19x = 415,354.50 × 415,354.50
  4. Step 4: Simplify right side
    189,042.19x = 172,519,360,670.25
  5. Step 5: Solve for x
    x = 172,519,360,670.25/189,042.19
  6. Step 6: Final answer
    x = 912,597.15

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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.