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Finding the Third Proportional to 106,245 and 232,200

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Solution

The third proportional to 106,245 and 232,200 is: 507,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,245 : 232,200 = 232,200 : x
  2. Step 2: Convert to fraction form
    106,245/232,200 = 232,200/x
  3. Step 3: Cross multiply
    106,245x = 232,200 × 232,200
  4. Step 4: Simplify right side
    106,245x = 53,916,840,000
  5. Step 5: Solve for x
    x = 53,916,840,000/106,245
  6. Step 6: Final answer
    x = 507,476.49

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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.