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Finding the Third Proportional to 161,357 and 354,562

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Solution

The third proportional to 161,357 and 354,562 is: 779,106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,357 : 354,562 = 354,562 : x
  2. Step 2: Convert to fraction form
    161,357/354,562 = 354,562/x
  3. Step 3: Cross multiply
    161,357x = 354,562 × 354,562
  4. Step 4: Simplify right side
    161,357x = 125,714,211,844
  5. Step 5: Solve for x
    x = 125,714,211,844/161,357
  6. Step 6: Final answer
    x = 779,106.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.