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Finding the Third Proportional to 143,701.28 and 296,628.96

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Solution

The third proportional to 143,701.28 and 296,628.96 is: 612,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,701.28 : 296,628.96 = 296,628.96 : x
  2. Step 2: Convert to fraction form
    143,701.28/296,628.96 = 296,628.96/x
  3. Step 3: Cross multiply
    143,701.28x = 296,628.96 × 296,628.96
  4. Step 4: Simplify right side
    143,701.28x = 87,988,740,466.86
  5. Step 5: Solve for x
    x = 87,988,740,466.86/143,701.28
  6. Step 6: Final answer
    x = 612,303.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.