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Finding the Third Proportional to 119,848 and 260,614

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Solution

The third proportional to 119,848 and 260,614 is: 566,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,848 : 260,614 = 260,614 : x
  2. Step 2: Convert to fraction form
    119,848/260,614 = 260,614/x
  3. Step 3: Cross multiply
    119,848x = 260,614 × 260,614
  4. Step 4: Simplify right side
    119,848x = 67,919,656,996
  5. Step 5: Solve for x
    x = 67,919,656,996/119,848
  6. Step 6: Final answer
    x = 566,714.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.