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Finding the Third Proportional to 139,848 and 209,786

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Solution

The third proportional to 139,848 and 209,786 is: 314,700.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,848 : 209,786 = 209,786 : x
  2. Step 2: Convert to fraction form
    139,848/209,786 = 209,786/x
  3. Step 3: Cross multiply
    139,848x = 209,786 × 209,786
  4. Step 4: Simplify right side
    139,848x = 44,010,165,796
  5. Step 5: Solve for x
    x = 44,010,165,796/139,848
  6. Step 6: Final answer
    x = 314,700.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.