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Finding the Third Proportional to 232,202 and 354,954

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Solution

The third proportional to 232,202 and 354,954 is: 542,598.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,202 : 354,954 = 354,954 : x
  2. Step 2: Convert to fraction form
    232,202/354,954 = 354,954/x
  3. Step 3: Cross multiply
    232,202x = 354,954 × 354,954
  4. Step 4: Simplify right side
    232,202x = 125,992,342,116
  5. Step 5: Solve for x
    x = 125,992,342,116/232,202
  6. Step 6: Final answer
    x = 542,598.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.