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Finding the Third Proportional to 130,954.22 and 285,897.09

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Solution

The third proportional to 130,954.22 and 285,897.09 is: 624,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,954.22 : 285,897.09 = 285,897.09 : x
  2. Step 2: Convert to fraction form
    130,954.22/285,897.09 = 285,897.09/x
  3. Step 3: Cross multiply
    130,954.22x = 285,897.09 × 285,897.09
  4. Step 4: Simplify right side
    130,954.22x = 81,737,148,214.70
  5. Step 5: Solve for x
    x = 81,737,148,214.70/130,954.22
  6. Step 6: Final answer
    x = 624,165.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.