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Finding the Third Proportional to 146,054 and 310,940

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Solution

The third proportional to 146,054 and 310,940 is: 661,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,054 : 310,940 = 310,940 : x
  2. Step 2: Convert to fraction form
    146,054/310,940 = 310,940/x
  3. Step 3: Cross multiply
    146,054x = 310,940 × 310,940
  4. Step 4: Simplify right side
    146,054x = 96,683,683,600
  5. Step 5: Solve for x
    x = 96,683,683,600/146,054
  6. Step 6: Final answer
    x = 661,972.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.