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Finding the Third Proportional to 72,604 and 156,338

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Solution

The third proportional to 72,604 and 156,338 is: 336,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,604 : 156,338 = 156,338 : x
  2. Step 2: Convert to fraction form
    72,604/156,338 = 156,338/x
  3. Step 3: Cross multiply
    72,604x = 156,338 × 156,338
  4. Step 4: Simplify right side
    72,604x = 24,441,570,244
  5. Step 5: Solve for x
    x = 24,441,570,244/72,604
  6. Step 6: Final answer
    x = 336,642.20

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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.