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Finding the Third Proportional to 166,680 and 250,038

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Solution

The third proportional to 166,680 and 250,038 is: 375,084.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,680 : 250,038 = 250,038 : x
  2. Step 2: Convert to fraction form
    166,680/250,038 = 250,038/x
  3. Step 3: Cross multiply
    166,680x = 250,038 × 250,038
  4. Step 4: Simplify right side
    166,680x = 62,519,001,444
  5. Step 5: Solve for x
    x = 62,519,001,444/166,680
  6. Step 6: Final answer
    x = 375,084.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.