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Finding the Third Proportional to 164,486 and 352,282

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Solution

The third proportional to 164,486 and 352,282 is: 754,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,486 : 352,282 = 352,282 : x
  2. Step 2: Convert to fraction form
    164,486/352,282 = 352,282/x
  3. Step 3: Cross multiply
    164,486x = 352,282 × 352,282
  4. Step 4: Simplify right side
    164,486x = 124,102,607,524
  5. Step 5: Solve for x
    x = 124,102,607,524/164,486
  6. Step 6: Final answer
    x = 754,487.36

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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.