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Finding the Third Proportional to 164,464 and 352,224

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Solution

The third proportional to 164,464 and 352,224 is: 754,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,464 : 352,224 = 352,224 : x
  2. Step 2: Convert to fraction form
    164,464/352,224 = 352,224/x
  3. Step 3: Cross multiply
    164,464x = 352,224 × 352,224
  4. Step 4: Simplify right side
    164,464x = 124,061,746,176
  5. Step 5: Solve for x
    x = 124,061,746,176/164,464
  6. Step 6: Final answer
    x = 754,339.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.