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Finding the Third Proportional to 164,024 and 352,774

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Solution

The third proportional to 164,024 and 352,774 is: 758,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,024 : 352,774 = 352,774 : x
  2. Step 2: Convert to fraction form
    164,024/352,774 = 352,774/x
  3. Step 3: Cross multiply
    164,024x = 352,774 × 352,774
  4. Step 4: Simplify right side
    164,024x = 124,449,495,076
  5. Step 5: Solve for x
    x = 124,449,495,076/164,024
  6. Step 6: Final answer
    x = 758,727.35

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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.