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Finding the Third Proportional to 164,152 and 352,826

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Solution

The third proportional to 164,152 and 352,826 is: 758,359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,152 : 352,826 = 352,826 : x
  2. Step 2: Convert to fraction form
    164,152/352,826 = 352,826/x
  3. Step 3: Cross multiply
    164,152x = 352,826 × 352,826
  4. Step 4: Simplify right side
    164,152x = 124,486,186,276
  5. Step 5: Solve for x
    x = 124,486,186,276/164,152
  6. Step 6: Final answer
    x = 758,359.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.