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Finding the Third Proportional to 160,563 and 352,905

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Solution

The third proportional to 160,563 and 352,905 is: 775,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,563 : 352,905 = 352,905 : x
  2. Step 2: Convert to fraction form
    160,563/352,905 = 352,905/x
  3. Step 3: Cross multiply
    160,563x = 352,905 × 352,905
  4. Step 4: Simplify right side
    160,563x = 124,541,939,025
  5. Step 5: Solve for x
    x = 124,541,939,025/160,563
  6. Step 6: Final answer
    x = 775,657.77

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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.