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Finding the Third Proportional to 106,455 and 232,502

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Solution

The third proportional to 106,455 and 232,502 is: 507,793.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,455 : 232,502 = 232,502 : x
  2. Step 2: Convert to fraction form
    106,455/232,502 = 232,502/x
  3. Step 3: Cross multiply
    106,455x = 232,502 × 232,502
  4. Step 4: Simplify right side
    106,455x = 54,057,180,004
  5. Step 5: Solve for x
    x = 54,057,180,004/106,455
  6. Step 6: Final answer
    x = 507,793.72

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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.