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Finding the Third Proportional to 146,460 and 320,946

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Solution

The third proportional to 146,460 and 320,946 is: 703,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,460 : 320,946 = 320,946 : x
  2. Step 2: Convert to fraction form
    146,460/320,946 = 320,946/x
  3. Step 3: Cross multiply
    146,460x = 320,946 × 320,946
  4. Step 4: Simplify right side
    146,460x = 103,006,334,916
  5. Step 5: Solve for x
    x = 103,006,334,916/146,460
  6. Step 6: Final answer
    x = 703,306.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.