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Finding the Third Proportional to 146,310 and 314,446

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Solution

The third proportional to 146,310 and 314,446 is: 675,799.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,310 : 314,446 = 314,446 : x
  2. Step 2: Convert to fraction form
    146,310/314,446 = 314,446/x
  3. Step 3: Cross multiply
    146,310x = 314,446 × 314,446
  4. Step 4: Simplify right side
    146,310x = 98,876,286,916
  5. Step 5: Solve for x
    x = 98,876,286,916/146,310
  6. Step 6: Final answer
    x = 675,799.92

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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.