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Finding the Third Proportional to 135,368 and 297,736

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Solution

The third proportional to 135,368 and 297,736 is: 654,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,368 : 297,736 = 297,736 : x
  2. Step 2: Convert to fraction form
    135,368/297,736 = 297,736/x
  3. Step 3: Cross multiply
    135,368x = 297,736 × 297,736
  4. Step 4: Simplify right side
    135,368x = 88,646,725,696
  5. Step 5: Solve for x
    x = 88,646,725,696/135,368
  6. Step 6: Final answer
    x = 654,857.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.