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Finding the Third Proportional to 163,496 and 352,790

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Solution

The third proportional to 163,496 and 352,790 is: 761,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,496 : 352,790 = 352,790 : x
  2. Step 2: Convert to fraction form
    163,496/352,790 = 352,790/x
  3. Step 3: Cross multiply
    163,496x = 352,790 × 352,790
  4. Step 4: Simplify right side
    163,496x = 124,460,784,100
  5. Step 5: Solve for x
    x = 124,460,784,100/163,496
  6. Step 6: Final answer
    x = 761,246.66

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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.