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Finding the Third Proportional to 146,116 and 315,512

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Solution

The third proportional to 146,116 and 315,512 is: 681,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,116 : 315,512 = 315,512 : x
  2. Step 2: Convert to fraction form
    146,116/315,512 = 315,512/x
  3. Step 3: Cross multiply
    146,116x = 315,512 × 315,512
  4. Step 4: Simplify right side
    146,116x = 99,547,822,144
  5. Step 5: Solve for x
    x = 99,547,822,144/146,116
  6. Step 6: Final answer
    x = 681,293.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.