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Finding the Third Proportional to 146,076 and 306,912

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Solution

The third proportional to 146,076 and 306,912 is: 644,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,076 : 306,912 = 306,912 : x
  2. Step 2: Convert to fraction form
    146,076/306,912 = 306,912/x
  3. Step 3: Cross multiply
    146,076x = 306,912 × 306,912
  4. Step 4: Simplify right side
    146,076x = 94,194,975,744
  5. Step 5: Solve for x
    x = 94,194,975,744/146,076
  6. Step 6: Final answer
    x = 644,835.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.