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Finding the Third Proportional to 70,335 and 156,222

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Solution

The third proportional to 70,335 and 156,222 is: 346,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,335 : 156,222 = 156,222 : x
  2. Step 2: Convert to fraction form
    70,335/156,222 = 156,222/x
  3. Step 3: Cross multiply
    70,335x = 156,222 × 156,222
  4. Step 4: Simplify right side
    70,335x = 24,405,313,284
  5. Step 5: Solve for x
    x = 24,405,313,284/70,335
  6. Step 6: Final answer
    x = 346,986.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.