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Finding the Third Proportional to 164,476 and 352,272

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Solution

The third proportional to 164,476 and 352,272 is: 754,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,476 : 352,272 = 352,272 : x
  2. Step 2: Convert to fraction form
    164,476/352,272 = 352,272/x
  3. Step 3: Cross multiply
    164,476x = 352,272 × 352,272
  4. Step 4: Simplify right side
    164,476x = 124,095,561,984
  5. Step 5: Solve for x
    x = 124,095,561,984/164,476
  6. Step 6: Final answer
    x = 754,490.39

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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.