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Finding the Third Proportional to 134,611 and 293,673

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Solution

The third proportional to 134,611 and 293,673 is: 640,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,611 : 293,673 = 293,673 : x
  2. Step 2: Convert to fraction form
    134,611/293,673 = 293,673/x
  3. Step 3: Cross multiply
    134,611x = 293,673 × 293,673
  4. Step 4: Simplify right side
    134,611x = 86,243,830,929
  5. Step 5: Solve for x
    x = 86,243,830,929/134,611
  6. Step 6: Final answer
    x = 640,689.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.