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Finding the Third Proportional to 156,125 and 340,537

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Solution

The third proportional to 156,125 and 340,537 is: 742,773.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,125 : 340,537 = 340,537 : x
  2. Step 2: Convert to fraction form
    156,125/340,537 = 340,537/x
  3. Step 3: Cross multiply
    156,125x = 340,537 × 340,537
  4. Step 4: Simplify right side
    156,125x = 115,965,448,369
  5. Step 5: Solve for x
    x = 115,965,448,369/156,125
  6. Step 6: Final answer
    x = 742,773.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.