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Finding the Third Proportional to 163,650 and 353,052

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Solution

The third proportional to 163,650 and 353,052 is: 761,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,650 : 353,052 = 353,052 : x
  2. Step 2: Convert to fraction form
    163,650/353,052 = 353,052/x
  3. Step 3: Cross multiply
    163,650x = 353,052 × 353,052
  4. Step 4: Simplify right side
    163,650x = 124,645,714,704
  5. Step 5: Solve for x
    x = 124,645,714,704/163,650
  6. Step 6: Final answer
    x = 761,660.34

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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.