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Finding the Third Proportional to 164,448 and 352,222

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Solution

The third proportional to 164,448 and 352,222 is: 754,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,448 : 352,222 = 352,222 : x
  2. Step 2: Convert to fraction form
    164,448/352,222 = 352,222/x
  3. Step 3: Cross multiply
    164,448x = 352,222 × 352,222
  4. Step 4: Simplify right side
    164,448x = 124,060,337,284
  5. Step 5: Solve for x
    x = 124,060,337,284/164,448
  6. Step 6: Final answer
    x = 754,404.66

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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.