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Finding the Third Proportional to 145,941.75 and 314,394.75

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Solution

The third proportional to 145,941.75 and 314,394.75 is: 677,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,941.75 : 314,394.75 = 314,394.75 : x
  2. Step 2: Convert to fraction form
    145,941.75/314,394.75 = 314,394.75/x
  3. Step 3: Cross multiply
    145,941.75x = 314,394.75 × 314,394.75
  4. Step 4: Simplify right side
    145,941.75x = 98,844,058,827.56
  5. Step 5: Solve for x
    x = 98,844,058,827.56/145,941.75
  6. Step 6: Final answer
    x = 677,284.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.