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Finding the Third Proportional to 106,341 and 232,000

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Solution

The third proportional to 106,341 and 232,000 is: 506,145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,341 : 232,000 = 232,000 : x
  2. Step 2: Convert to fraction form
    106,341/232,000 = 232,000/x
  3. Step 3: Cross multiply
    106,341x = 232,000 × 232,000
  4. Step 4: Simplify right side
    106,341x = 53,824,000,000
  5. Step 5: Solve for x
    x = 53,824,000,000/106,341
  6. Step 6: Final answer
    x = 506,145.32

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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.