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Finding the Third Proportional to 160,438.50 and 246,627

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Solution

The third proportional to 160,438.50 and 246,627 is: 379,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,438.50 : 246,627 = 246,627 : x
  2. Step 2: Convert to fraction form
    160,438.50/246,627 = 246,627/x
  3. Step 3: Cross multiply
    160,438.50x = 246,627 × 246,627
  4. Step 4: Simplify right side
    160,438.50x = 60,824,877,129
  5. Step 5: Solve for x
    x = 60,824,877,129/160,438.50
  6. Step 6: Final answer
    x = 379,116.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.