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Finding the Third Proportional to 163,118.25 and 345,820.50

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Solution

The third proportional to 163,118.25 and 345,820.50 is: 733,160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,118.25 : 345,820.50 = 345,820.50 : x
  2. Step 2: Convert to fraction form
    163,118.25/345,820.50 = 345,820.50/x
  3. Step 3: Cross multiply
    163,118.25x = 345,820.50 × 345,820.50
  4. Step 4: Simplify right side
    163,118.25x = 119,591,818,220.25
  5. Step 5: Solve for x
    x = 119,591,818,220.25/163,118.25
  6. Step 6: Final answer
    x = 733,160.26

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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.