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Finding the Third Proportional to 163,602 and 346,980

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Solution

The third proportional to 163,602 and 346,980 is: 735,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,602 : 346,980 = 346,980 : x
  2. Step 2: Convert to fraction form
    163,602/346,980 = 346,980/x
  3. Step 3: Cross multiply
    163,602x = 346,980 × 346,980
  4. Step 4: Simplify right side
    163,602x = 120,395,120,400
  5. Step 5: Solve for x
    x = 120,395,120,400/163,602
  6. Step 6: Final answer
    x = 735,902.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.