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Finding the Third Proportional to 163,770.75 and 347,225.63

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Solution

The third proportional to 163,770.75 and 347,225.63 is: 736,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,770.75 : 347,225.63 = 347,225.63 : x
  2. Step 2: Convert to fraction form
    163,770.75/347,225.63 = 347,225.63/x
  3. Step 3: Cross multiply
    163,770.75x = 347,225.63 × 347,225.63
  4. Step 4: Simplify right side
    163,770.75x = 120,565,634,656.64
  5. Step 5: Solve for x
    x = 120,565,634,656.64/163,770.75
  6. Step 6: Final answer
    x = 736,185.40

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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.