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Finding the Third Proportional to 156,870 and 322,079.63

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Solution

The third proportional to 156,870 and 322,079.63 is: 661,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,870 : 322,079.63 = 322,079.63 : x
  2. Step 2: Convert to fraction form
    156,870/322,079.63 = 322,079.63/x
  3. Step 3: Cross multiply
    156,870x = 322,079.63 × 322,079.63
  4. Step 4: Simplify right side
    156,870x = 103,735,284,840.14
  5. Step 5: Solve for x
    x = 103,735,284,840.14/156,870
  6. Step 6: Final answer
    x = 661,281.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.