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Finding the Third Proportional to 163,581 and 352,938

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Solution

The third proportional to 163,581 and 352,938 is: 761,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,581 : 352,938 = 352,938 : x
  2. Step 2: Convert to fraction form
    163,581/352,938 = 352,938/x
  3. Step 3: Cross multiply
    163,581x = 352,938 × 352,938
  4. Step 4: Simplify right side
    163,581x = 124,565,231,844
  5. Step 5: Solve for x
    x = 124,565,231,844/163,581
  6. Step 6: Final answer
    x = 761,489.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.