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Finding the Third Proportional to 160,524 and 245,064

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Solution

The third proportional to 160,524 and 245,064 is: 374,127.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,524 : 245,064 = 245,064 : x
  2. Step 2: Convert to fraction form
    160,524/245,064 = 245,064/x
  3. Step 3: Cross multiply
    160,524x = 245,064 × 245,064
  4. Step 4: Simplify right side
    160,524x = 60,056,364,096
  5. Step 5: Solve for x
    x = 60,056,364,096/160,524
  6. Step 6: Final answer
    x = 374,127.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.