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Finding the Third Proportional to 141,970.50 and 303,639.75

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Solution

The third proportional to 141,970.50 and 303,639.75 is: 649,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,970.50 : 303,639.75 = 303,639.75 : x
  2. Step 2: Convert to fraction form
    141,970.50/303,639.75 = 303,639.75/x
  3. Step 3: Cross multiply
    141,970.50x = 303,639.75 × 303,639.75
  4. Step 4: Simplify right side
    141,970.50x = 92,197,097,780.06
  5. Step 5: Solve for x
    x = 92,197,097,780.06/141,970.50
  6. Step 6: Final answer
    x = 649,410.25

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Why These Related Problems?

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