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Finding the Third Proportional to 209,165.63 and 430,710.75

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Solution

The third proportional to 209,165.63 and 430,710.75 is: 886,913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,165.63 : 430,710.75 = 430,710.75 : x
  2. Step 2: Convert to fraction form
    209,165.63/430,710.75 = 430,710.75/x
  3. Step 3: Cross multiply
    209,165.63x = 430,710.75 × 430,710.75
  4. Step 4: Simplify right side
    209,165.63x = 185,511,750,165.56
  5. Step 5: Solve for x
    x = 185,511,750,165.56/209,165.63
  6. Step 6: Final answer
    x = 886,913.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.