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Finding the Third Proportional to 163,706 and 352,602

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Solution

The third proportional to 163,706 and 352,602 is: 759,460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,706 : 352,602 = 352,602 : x
  2. Step 2: Convert to fraction form
    163,706/352,602 = 352,602/x
  3. Step 3: Cross multiply
    163,706x = 352,602 × 352,602
  4. Step 4: Simplify right side
    163,706x = 124,328,170,404
  5. Step 5: Solve for x
    x = 124,328,170,404/163,706
  6. Step 6: Final answer
    x = 759,460.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.