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Finding the Third Proportional to 232,090 and 313,140

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Solution

The third proportional to 232,090 and 313,140 is: 422,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,090 : 313,140 = 313,140 : x
  2. Step 2: Convert to fraction form
    232,090/313,140 = 313,140/x
  3. Step 3: Cross multiply
    232,090x = 313,140 × 313,140
  4. Step 4: Simplify right side
    232,090x = 98,056,659,600
  5. Step 5: Solve for x
    x = 98,056,659,600/232,090
  6. Step 6: Final answer
    x = 422,494.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.