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Finding the Third Proportional to 154,078 and 329,905

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Solution

The third proportional to 154,078 and 329,905 is: 706,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,078 : 329,905 = 329,905 : x
  2. Step 2: Convert to fraction form
    154,078/329,905 = 329,905/x
  3. Step 3: Cross multiply
    154,078x = 329,905 × 329,905
  4. Step 4: Simplify right side
    154,078x = 108,837,309,025
  5. Step 5: Solve for x
    x = 108,837,309,025/154,078
  6. Step 6: Final answer
    x = 706,378.00

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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.