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Finding the Third Proportional to 145,827.28 and 303,294.38

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Solution

The third proportional to 145,827.28 and 303,294.38 is: 630,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,827.28 : 303,294.38 = 303,294.38 : x
  2. Step 2: Convert to fraction form
    145,827.28/303,294.38 = 303,294.38/x
  3. Step 3: Cross multiply
    145,827.28x = 303,294.38 × 303,294.38
  4. Step 4: Simplify right side
    145,827.28x = 91,987,477,906.64
  5. Step 5: Solve for x
    x = 91,987,477,906.64/145,827.28
  6. Step 6: Final answer
    x = 630,797.46

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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.