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Finding the Third Proportional to 154,514 and 325,633

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Solution

The third proportional to 154,514 and 325,633 is: 686,260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,514 : 325,633 = 325,633 : x
  2. Step 2: Convert to fraction form
    154,514/325,633 = 325,633/x
  3. Step 3: Cross multiply
    154,514x = 325,633 × 325,633
  4. Step 4: Simplify right side
    154,514x = 106,036,850,689
  5. Step 5: Solve for x
    x = 106,036,850,689/154,514
  6. Step 6: Final answer
    x = 686,260.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.