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Finding the Third Proportional to 181,658 and 283,526

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Solution

The third proportional to 181,658 and 283,526 is: 442,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,658 : 283,526 = 283,526 : x
  2. Step 2: Convert to fraction form
    181,658/283,526 = 283,526/x
  3. Step 3: Cross multiply
    181,658x = 283,526 × 283,526
  4. Step 4: Simplify right side
    181,658x = 80,386,992,676
  5. Step 5: Solve for x
    x = 80,386,992,676/181,658
  6. Step 6: Final answer
    x = 442,518.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.