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Finding the Third Proportional to 142,052.63 and 315,633.75

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Solution

The third proportional to 142,052.63 and 315,633.75 is: 701,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,052.63 : 315,633.75 = 315,633.75 : x
  2. Step 2: Convert to fraction form
    142,052.63/315,633.75 = 315,633.75/x
  3. Step 3: Cross multiply
    142,052.63x = 315,633.75 × 315,633.75
  4. Step 4: Simplify right side
    142,052.63x = 99,624,664,139.06
  5. Step 5: Solve for x
    x = 99,624,664,139.06/142,052.63
  6. Step 6: Final answer
    x = 701,322.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.