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Finding the Third Proportional to 164,038 and 237,064

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Solution

The third proportional to 164,038 and 237,064 is: 342,599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,038 : 237,064 = 237,064 : x
  2. Step 2: Convert to fraction form
    164,038/237,064 = 237,064/x
  3. Step 3: Cross multiply
    164,038x = 237,064 × 237,064
  4. Step 4: Simplify right side
    164,038x = 56,199,340,096
  5. Step 5: Solve for x
    x = 56,199,340,096/164,038
  6. Step 6: Final answer
    x = 342,599.52

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.