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Finding the Third Proportional to 145,918 and 301,946

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Solution

The third proportional to 145,918 and 301,946 is: 624,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,918 : 301,946 = 301,946 : x
  2. Step 2: Convert to fraction form
    145,918/301,946 = 301,946/x
  3. Step 3: Cross multiply
    145,918x = 301,946 × 301,946
  4. Step 4: Simplify right side
    145,918x = 91,171,386,916
  5. Step 5: Solve for x
    x = 91,171,386,916/145,918
  6. Step 6: Final answer
    x = 624,812.48

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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.