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Finding the Third Proportional to 119,835.70 and 260,041.64

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Solution

The third proportional to 119,835.70 and 260,041.64 is: 564,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,835.70 : 260,041.64 = 260,041.64 : x
  2. Step 2: Convert to fraction form
    119,835.70/260,041.64 = 260,041.64/x
  3. Step 3: Cross multiply
    119,835.70x = 260,041.64 × 260,041.64
  4. Step 4: Simplify right side
    119,835.70x = 67,621,654,858.94
  5. Step 5: Solve for x
    x = 67,621,654,858.94/119,835.70
  6. Step 6: Final answer
    x = 564,286.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.