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Finding the Third Proportional to 155,600.50 and 316,907

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Solution

The third proportional to 155,600.50 and 316,907 is: 645,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,600.50 : 316,907 = 316,907 : x
  2. Step 2: Convert to fraction form
    155,600.50/316,907 = 316,907/x
  3. Step 3: Cross multiply
    155,600.50x = 316,907 × 316,907
  4. Step 4: Simplify right side
    155,600.50x = 100,430,046,649
  5. Step 5: Solve for x
    x = 100,430,046,649/155,600.50
  6. Step 6: Final answer
    x = 645,435.24

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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.