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Finding the Third Proportional to 230,848 and 360,852

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Solution

The third proportional to 230,848 and 360,852 is: 564,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,848 : 360,852 = 360,852 : x
  2. Step 2: Convert to fraction form
    230,848/360,852 = 360,852/x
  3. Step 3: Cross multiply
    230,848x = 360,852 × 360,852
  4. Step 4: Simplify right side
    230,848x = 130,214,165,904
  5. Step 5: Solve for x
    x = 130,214,165,904/230,848
  6. Step 6: Final answer
    x = 564,068.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.