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Finding the Third Proportional to 142,928.25 and 301,713

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Solution

The third proportional to 142,928.25 and 301,713 is: 636,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,928.25 : 301,713 = 301,713 : x
  2. Step 2: Convert to fraction form
    142,928.25/301,713 = 301,713/x
  3. Step 3: Cross multiply
    142,928.25x = 301,713 × 301,713
  4. Step 4: Simplify right side
    142,928.25x = 91,030,734,369
  5. Step 5: Solve for x
    x = 91,030,734,369/142,928.25
  6. Step 6: Final answer
    x = 636,898.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.