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Finding the Third Proportional to 134,368 and 293,296

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Solution

The third proportional to 134,368 and 293,296 is: 640,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,368 : 293,296 = 293,296 : x
  2. Step 2: Convert to fraction form
    134,368/293,296 = 293,296/x
  3. Step 3: Cross multiply
    134,368x = 293,296 × 293,296
  4. Step 4: Simplify right side
    134,368x = 86,022,543,616
  5. Step 5: Solve for x
    x = 86,022,543,616/134,368
  6. Step 6: Final answer
    x = 640,201.12

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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.