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Finding the Third Proportional to 169,792 and 258,576

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Solution

The third proportional to 169,792 and 258,576 is: 393,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,792 : 258,576 = 258,576 : x
  2. Step 2: Convert to fraction form
    169,792/258,576 = 258,576/x
  3. Step 3: Cross multiply
    169,792x = 258,576 × 258,576
  4. Step 4: Simplify right side
    169,792x = 66,861,547,776
  5. Step 5: Solve for x
    x = 66,861,547,776/169,792
  6. Step 6: Final answer
    x = 393,785.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.