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Finding the Third Proportional to 119,382 and 260,064

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Solution

The third proportional to 119,382 and 260,064 is: 566,528.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,382 : 260,064 = 260,064 : x
  2. Step 2: Convert to fraction form
    119,382/260,064 = 260,064/x
  3. Step 3: Cross multiply
    119,382x = 260,064 × 260,064
  4. Step 4: Simplify right side
    119,382x = 67,633,284,096
  5. Step 5: Solve for x
    x = 67,633,284,096/119,382
  6. Step 6: Final answer
    x = 566,528.32

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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.