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Finding the Third Proportional to 146,255.63 and 303,977.81

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Solution

The third proportional to 146,255.63 and 303,977.81 is: 631,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,255.63 : 303,977.81 = 303,977.81 : x
  2. Step 2: Convert to fraction form
    146,255.63/303,977.81 = 303,977.81/x
  3. Step 3: Cross multiply
    146,255.63x = 303,977.81 × 303,977.81
  4. Step 4: Simplify right side
    146,255.63x = 92,402,510,492.29
  5. Step 5: Solve for x
    x = 92,402,510,492.29/146,255.63
  6. Step 6: Final answer
    x = 631,787.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.