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Finding the Third Proportional to 158,856 and 340,746

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Solution

The third proportional to 158,856 and 340,746 is: 730,899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,856 : 340,746 = 340,746 : x
  2. Step 2: Convert to fraction form
    158,856/340,746 = 340,746/x
  3. Step 3: Cross multiply
    158,856x = 340,746 × 340,746
  4. Step 4: Simplify right side
    158,856x = 116,107,836,516
  5. Step 5: Solve for x
    x = 116,107,836,516/158,856
  6. Step 6: Final answer
    x = 730,899.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.