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Finding the Third Proportional to 119,530 and 260,088

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Solution

The third proportional to 119,530 and 260,088 is: 565,931.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,530 : 260,088 = 260,088 : x
  2. Step 2: Convert to fraction form
    119,530/260,088 = 260,088/x
  3. Step 3: Cross multiply
    119,530x = 260,088 × 260,088
  4. Step 4: Simplify right side
    119,530x = 67,645,767,744
  5. Step 5: Solve for x
    x = 67,645,767,744/119,530
  6. Step 6: Final answer
    x = 565,931.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.