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Finding the Third Proportional to 232,656 and 369,000

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Solution

The third proportional to 232,656 and 369,000 is: 585,246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,656 : 369,000 = 369,000 : x
  2. Step 2: Convert to fraction form
    232,656/369,000 = 369,000/x
  3. Step 3: Cross multiply
    232,656x = 369,000 × 369,000
  4. Step 4: Simplify right side
    232,656x = 136,161,000,000
  5. Step 5: Solve for x
    x = 136,161,000,000/232,656
  6. Step 6: Final answer
    x = 585,246.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.