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Finding the Third Proportional to 163,656 and 353,096

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Solution

The third proportional to 163,656 and 353,096 is: 761,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,656 : 353,096 = 353,096 : x
  2. Step 2: Convert to fraction form
    163,656/353,096 = 353,096/x
  3. Step 3: Cross multiply
    163,656x = 353,096 × 353,096
  4. Step 4: Simplify right side
    163,656x = 124,676,785,216
  5. Step 5: Solve for x
    x = 124,676,785,216/163,656
  6. Step 6: Final answer
    x = 761,822.27

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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.