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Finding the Third Proportional to 144,825.56 and 302,893.50

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Solution

The third proportional to 144,825.56 and 302,893.50 is: 633,482.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,825.56 : 302,893.50 = 302,893.50 : x
  2. Step 2: Convert to fraction form
    144,825.56/302,893.50 = 302,893.50/x
  3. Step 3: Cross multiply
    144,825.56x = 302,893.50 × 302,893.50
  4. Step 4: Simplify right side
    144,825.56x = 91,744,472,342.25
  5. Step 5: Solve for x
    x = 91,744,472,342.25/144,825.56
  6. Step 6: Final answer
    x = 633,482.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.