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Finding the Third Proportional to 141,026 and 218,470

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Solution

The third proportional to 141,026 and 218,470 is: 338,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,026 : 218,470 = 218,470 : x
  2. Step 2: Convert to fraction form
    141,026/218,470 = 218,470/x
  3. Step 3: Cross multiply
    141,026x = 218,470 × 218,470
  4. Step 4: Simplify right side
    141,026x = 47,729,140,900
  5. Step 5: Solve for x
    x = 47,729,140,900/141,026
  6. Step 6: Final answer
    x = 338,442.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.