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Finding the Third Proportional to 119,415 and 261,807

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Solution

The third proportional to 119,415 and 261,807 is: 573,989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,415 : 261,807 = 261,807 : x
  2. Step 2: Convert to fraction form
    119,415/261,807 = 261,807/x
  3. Step 3: Cross multiply
    119,415x = 261,807 × 261,807
  4. Step 4: Simplify right side
    119,415x = 68,542,905,249
  5. Step 5: Solve for x
    x = 68,542,905,249/119,415
  6. Step 6: Final answer
    x = 573,989.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.