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Finding the Third Proportional to 156,672 and 348,224

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Solution

The third proportional to 156,672 and 348,224 is: 773,973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,672 : 348,224 = 348,224 : x
  2. Step 2: Convert to fraction form
    156,672/348,224 = 348,224/x
  3. Step 3: Cross multiply
    156,672x = 348,224 × 348,224
  4. Step 4: Simplify right side
    156,672x = 121,259,954,176
  5. Step 5: Solve for x
    x = 121,259,954,176/156,672
  6. Step 6: Final answer
    x = 773,973.36

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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.