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Finding the Third Proportional to 163,532 and 352,870

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Solution

The third proportional to 163,532 and 352,870 is: 761,424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,532 : 352,870 = 352,870 : x
  2. Step 2: Convert to fraction form
    163,532/352,870 = 352,870/x
  3. Step 3: Cross multiply
    163,532x = 352,870 × 352,870
  4. Step 4: Simplify right side
    163,532x = 124,517,236,900
  5. Step 5: Solve for x
    x = 124,517,236,900/163,532
  6. Step 6: Final answer
    x = 761,424.29

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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.