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Finding the Third Proportional to 163,536 and 352,878

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Solution

The third proportional to 163,536 and 352,878 is: 761,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,536 : 352,878 = 352,878 : x
  2. Step 2: Convert to fraction form
    163,536/352,878 = 352,878/x
  3. Step 3: Cross multiply
    163,536x = 352,878 × 352,878
  4. Step 4: Simplify right side
    163,536x = 124,522,882,884
  5. Step 5: Solve for x
    x = 124,522,882,884/163,536
  6. Step 6: Final answer
    x = 761,440.19

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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.