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Finding the Third Proportional to 209,577.38 and 332,089.88

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Solution

The third proportional to 209,577.38 and 332,089.88 is: 526,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,577.38 : 332,089.88 = 332,089.88 : x
  2. Step 2: Convert to fraction form
    209,577.38/332,089.88 = 332,089.88/x
  3. Step 3: Cross multiply
    209,577.38x = 332,089.88 × 332,089.88
  4. Step 4: Simplify right side
    209,577.38x = 110,283,685,077.52
  5. Step 5: Solve for x
    x = 110,283,685,077.52/209,577.38
  6. Step 6: Final answer
    x = 526,219.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.