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Finding the Third Proportional to 146,138 and 314,452

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Solution

The third proportional to 146,138 and 314,452 is: 676,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,138 : 314,452 = 314,452 : x
  2. Step 2: Convert to fraction form
    146,138/314,452 = 314,452/x
  3. Step 3: Cross multiply
    146,138x = 314,452 × 314,452
  4. Step 4: Simplify right side
    146,138x = 98,880,060,304
  5. Step 5: Solve for x
    x = 98,880,060,304/146,138
  6. Step 6: Final answer
    x = 676,621.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.