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Finding the Third Proportional to 160,585.03 and 343,313.44

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Solution

The third proportional to 160,585.03 and 343,313.44 is: 733,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,585.03 : 343,313.44 = 343,313.44 : x
  2. Step 2: Convert to fraction form
    160,585.03/343,313.44 = 343,313.44/x
  3. Step 3: Cross multiply
    160,585.03x = 343,313.44 × 343,313.44
  4. Step 4: Simplify right side
    160,585.03x = 117,864,116,368.07
  5. Step 5: Solve for x
    x = 117,864,116,368.07/160,585.03
  6. Step 6: Final answer
    x = 733,967.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.