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Finding the Third Proportional to 138,106 and 297,948

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Solution

The third proportional to 138,106 and 297,948 is: 642,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,106 : 297,948 = 297,948 : x
  2. Step 2: Convert to fraction form
    138,106/297,948 = 297,948/x
  3. Step 3: Cross multiply
    138,106x = 297,948 × 297,948
  4. Step 4: Simplify right side
    138,106x = 88,773,010,704
  5. Step 5: Solve for x
    x = 88,773,010,704/138,106
  6. Step 6: Final answer
    x = 642,788.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.