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Finding the Third Proportional to 156,046 and 235,168

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Solution

The third proportional to 156,046 and 235,168 is: 354,408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,046 : 235,168 = 235,168 : x
  2. Step 2: Convert to fraction form
    156,046/235,168 = 235,168/x
  3. Step 3: Cross multiply
    156,046x = 235,168 × 235,168
  4. Step 4: Simplify right side
    156,046x = 55,303,988,224
  5. Step 5: Solve for x
    x = 55,303,988,224/156,046
  6. Step 6: Final answer
    x = 354,408.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.