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Finding the Third Proportional to 145,913 and 301,936

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Solution

The third proportional to 145,913 and 301,936 is: 624,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,913 : 301,936 = 301,936 : x
  2. Step 2: Convert to fraction form
    145,913/301,936 = 301,936/x
  3. Step 3: Cross multiply
    145,913x = 301,936 × 301,936
  4. Step 4: Simplify right side
    145,913x = 91,165,348,096
  5. Step 5: Solve for x
    x = 91,165,348,096/145,913
  6. Step 6: Final answer
    x = 624,792.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.