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Finding the Third Proportional to 156,689.44 and 341,673.19

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Solution

The third proportional to 156,689.44 and 341,673.19 is: 745,044.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,689.44 : 341,673.19 = 341,673.19 : x
  2. Step 2: Convert to fraction form
    156,689.44/341,673.19 = 341,673.19/x
  3. Step 3: Cross multiply
    156,689.44x = 341,673.19 × 341,673.19
  4. Step 4: Simplify right side
    156,689.44x = 116,740,567,056.41
  5. Step 5: Solve for x
    x = 116,740,567,056.41/156,689.44
  6. Step 6: Final answer
    x = 745,044.27

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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.