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Finding the Third Proportional to 169,280 and 364,084

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Solution

The third proportional to 169,280 and 364,084 is: 783,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,280 : 364,084 = 364,084 : x
  2. Step 2: Convert to fraction form
    169,280/364,084 = 364,084/x
  3. Step 3: Cross multiply
    169,280x = 364,084 × 364,084
  4. Step 4: Simplify right side
    169,280x = 132,557,159,056
  5. Step 5: Solve for x
    x = 132,557,159,056/169,280
  6. Step 6: Final answer
    x = 783,064.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.