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Finding the Third Proportional to 164,463 and 352,248

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Solution

The third proportional to 164,463 and 352,248 is: 754,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,463 : 352,248 = 352,248 : x
  2. Step 2: Convert to fraction form
    164,463/352,248 = 352,248/x
  3. Step 3: Cross multiply
    164,463x = 352,248 × 352,248
  4. Step 4: Simplify right side
    164,463x = 124,078,653,504
  5. Step 5: Solve for x
    x = 124,078,653,504/164,463
  6. Step 6: Final answer
    x = 754,447.22

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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.