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Finding the Third Proportional to 156,335.06 and 340,898.63

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Solution

The third proportional to 156,335.06 and 340,898.63 is: 743,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,335.06 : 340,898.63 = 340,898.63 : x
  2. Step 2: Convert to fraction form
    156,335.06/340,898.63 = 340,898.63/x
  3. Step 3: Cross multiply
    156,335.06x = 340,898.63 × 340,898.63
  4. Step 4: Simplify right side
    156,335.06x = 116,211,872,526.89
  5. Step 5: Solve for x
    x = 116,211,872,526.89/156,335.06
  6. Step 6: Final answer
    x = 743,351.30

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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.