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Finding the Third Proportional to 156,349 and 368,714.50

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Solution

The third proportional to 156,349 and 368,714.50 is: 869,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,349 : 368,714.50 = 368,714.50 : x
  2. Step 2: Convert to fraction form
    156,349/368,714.50 = 368,714.50/x
  3. Step 3: Cross multiply
    156,349x = 368,714.50 × 368,714.50
  4. Step 4: Simplify right side
    156,349x = 135,950,382,510.25
  5. Step 5: Solve for x
    x = 135,950,382,510.25/156,349
  6. Step 6: Final answer
    x = 869,531.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.