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Finding the Third Proportional to 155,548.50 and 317,655

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Solution

The third proportional to 155,548.50 and 317,655 is: 648,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,548.50 : 317,655 = 317,655 : x
  2. Step 2: Convert to fraction form
    155,548.50/317,655 = 317,655/x
  3. Step 3: Cross multiply
    155,548.50x = 317,655 × 317,655
  4. Step 4: Simplify right side
    155,548.50x = 100,904,699,025
  5. Step 5: Solve for x
    x = 100,904,699,025/155,548.50
  6. Step 6: Final answer
    x = 648,702.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.