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Finding the Third Proportional to 130,404.94 and 285,722.44

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Solution

The third proportional to 130,404.94 and 285,722.44 is: 626,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,404.94 : 285,722.44 = 285,722.44 : x
  2. Step 2: Convert to fraction form
    130,404.94/285,722.44 = 285,722.44/x
  3. Step 3: Cross multiply
    130,404.94x = 285,722.44 × 285,722.44
  4. Step 4: Simplify right side
    130,404.94x = 81,637,311,290.94
  5. Step 5: Solve for x
    x = 81,637,311,290.94/130,404.94
  6. Step 6: Final answer
    x = 626,029.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.