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Finding the Third Proportional to 163,906 and 357,599

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Solution

The third proportional to 163,906 and 357,599 is: 780,185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,906 : 357,599 = 357,599 : x
  2. Step 2: Convert to fraction form
    163,906/357,599 = 357,599/x
  3. Step 3: Cross multiply
    163,906x = 357,599 × 357,599
  4. Step 4: Simplify right side
    163,906x = 127,877,044,801
  5. Step 5: Solve for x
    x = 127,877,044,801/163,906
  6. Step 6: Final answer
    x = 780,185.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.