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Finding the Third Proportional to 269,179 and 392,084

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Solution

The third proportional to 269,179 and 392,084 is: 571,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,179 : 392,084 = 392,084 : x
  2. Step 2: Convert to fraction form
    269,179/392,084 = 392,084/x
  3. Step 3: Cross multiply
    269,179x = 392,084 × 392,084
  4. Step 4: Simplify right side
    269,179x = 153,729,863,056
  5. Step 5: Solve for x
    x = 153,729,863,056/269,179
  6. Step 6: Final answer
    x = 571,106.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.