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Finding the Third Proportional to 106,692 and 232,584

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Solution

The third proportional to 106,692 and 232,584 is: 507,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,692 : 232,584 = 232,584 : x
  2. Step 2: Convert to fraction form
    106,692/232,584 = 232,584/x
  3. Step 3: Cross multiply
    106,692x = 232,584 × 232,584
  4. Step 4: Simplify right side
    106,692x = 54,095,317,056
  5. Step 5: Solve for x
    x = 54,095,317,056/106,692
  6. Step 6: Final answer
    x = 507,023.18

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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.