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Finding the Third Proportional to 156,998 and 340,060

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Solution

The third proportional to 156,998 and 340,060 is: 736,575.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,998 : 340,060 = 340,060 : x
  2. Step 2: Convert to fraction form
    156,998/340,060 = 340,060/x
  3. Step 3: Cross multiply
    156,998x = 340,060 × 340,060
  4. Step 4: Simplify right side
    156,998x = 115,640,803,600
  5. Step 5: Solve for x
    x = 115,640,803,600/156,998
  6. Step 6: Final answer
    x = 736,575.01

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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.