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Finding the Third Proportional to 164,484 and 352,320

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Solution

The third proportional to 164,484 and 352,320 is: 754,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,484 : 352,320 = 352,320 : x
  2. Step 2: Convert to fraction form
    164,484/352,320 = 352,320/x
  3. Step 3: Cross multiply
    164,484x = 352,320 × 352,320
  4. Step 4: Simplify right side
    164,484x = 124,129,382,400
  5. Step 5: Solve for x
    x = 124,129,382,400/164,484
  6. Step 6: Final answer
    x = 754,659.31

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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.