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Finding the Third Proportional to 163,395 and 352,599

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Solution

The third proportional to 163,395 and 352,599 is: 760,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,395 : 352,599 = 352,599 : x
  2. Step 2: Convert to fraction form
    163,395/352,599 = 352,599/x
  3. Step 3: Cross multiply
    163,395x = 352,599 × 352,599
  4. Step 4: Simplify right side
    163,395x = 124,326,054,801
  5. Step 5: Solve for x
    x = 124,326,054,801/163,395
  6. Step 6: Final answer
    x = 760,892.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.