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Finding the Third Proportional to 156,046 and 335,772

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Solution

The third proportional to 156,046 and 335,772 is: 722,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,046 : 335,772 = 335,772 : x
  2. Step 2: Convert to fraction form
    156,046/335,772 = 335,772/x
  3. Step 3: Cross multiply
    156,046x = 335,772 × 335,772
  4. Step 4: Simplify right side
    156,046x = 112,742,835,984
  5. Step 5: Solve for x
    x = 112,742,835,984/156,046
  6. Step 6: Final answer
    x = 722,497.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.