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Finding the Third Proportional to 156,061.69 and 341,018.44

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Solution

The third proportional to 156,061.69 and 341,018.44 is: 745,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,061.69 : 341,018.44 = 341,018.44 : x
  2. Step 2: Convert to fraction form
    156,061.69/341,018.44 = 341,018.44/x
  3. Step 3: Cross multiply
    156,061.69x = 341,018.44 × 341,018.44
  4. Step 4: Simplify right side
    156,061.69x = 116,293,574,714.94
  5. Step 5: Solve for x
    x = 116,293,574,714.94/156,061.69
  6. Step 6: Final answer
    x = 745,176.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.