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Finding the Third Proportional to 160,814 and 352,726

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Solution

The third proportional to 160,814 and 352,726 is: 773,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,814 : 352,726 = 352,726 : x
  2. Step 2: Convert to fraction form
    160,814/352,726 = 352,726/x
  3. Step 3: Cross multiply
    160,814x = 352,726 × 352,726
  4. Step 4: Simplify right side
    160,814x = 124,415,631,076
  5. Step 5: Solve for x
    x = 124,415,631,076/160,814
  6. Step 6: Final answer
    x = 773,661.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.