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Finding the Third Proportional to 151,706.25 and 307,719

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Solution

The third proportional to 151,706.25 and 307,719 is: 624,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,706.25 : 307,719 = 307,719 : x
  2. Step 2: Convert to fraction form
    151,706.25/307,719 = 307,719/x
  3. Step 3: Cross multiply
    151,706.25x = 307,719 × 307,719
  4. Step 4: Simplify right side
    151,706.25x = 94,690,982,961
  5. Step 5: Solve for x
    x = 94,690,982,961/151,706.25
  6. Step 6: Final answer
    x = 624,173.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.