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Finding the Third Proportional to 137,328.75 and 212,214.94

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Solution

The third proportional to 137,328.75 and 212,214.94 is: 327,937.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,328.75 : 212,214.94 = 212,214.94 : x
  2. Step 2: Convert to fraction form
    137,328.75/212,214.94 = 212,214.94/x
  3. Step 3: Cross multiply
    137,328.75x = 212,214.94 × 212,214.94
  4. Step 4: Simplify right side
    137,328.75x = 45,035,179,698.13
  5. Step 5: Solve for x
    x = 45,035,179,698.13/137,328.75
  6. Step 6: Final answer
    x = 327,937.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.