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Finding the Third Proportional to 153,200 and 330,996

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Solution

The third proportional to 153,200 and 330,996 is: 715,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,200 : 330,996 = 330,996 : x
  2. Step 2: Convert to fraction form
    153,200/330,996 = 330,996/x
  3. Step 3: Cross multiply
    153,200x = 330,996 × 330,996
  4. Step 4: Simplify right side
    153,200x = 109,558,352,016
  5. Step 5: Solve for x
    x = 109,558,352,016/153,200
  6. Step 6: Final answer
    x = 715,132.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.