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Finding the Third Proportional to 163,770.19 and 347,223.38

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Solution

The third proportional to 163,770.19 and 347,223.38 is: 736,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,770.19 : 347,223.38 = 347,223.38 : x
  2. Step 2: Convert to fraction form
    163,770.19/347,223.38 = 347,223.38/x
  3. Step 3: Cross multiply
    163,770.19x = 347,223.38 × 347,223.38
  4. Step 4: Simplify right side
    163,770.19x = 120,564,072,146.39
  5. Step 5: Solve for x
    x = 120,564,072,146.39/163,770.19
  6. Step 6: Final answer
    x = 736,178.39

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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.