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Finding the Third Proportional to 147,110 and 314,451

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Solution

The third proportional to 147,110 and 314,451 is: 672,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,110 : 314,451 = 314,451 : x
  2. Step 2: Convert to fraction form
    147,110/314,451 = 314,451/x
  3. Step 3: Cross multiply
    147,110x = 314,451 × 314,451
  4. Step 4: Simplify right side
    147,110x = 98,879,431,401
  5. Step 5: Solve for x
    x = 98,879,431,401/147,110
  6. Step 6: Final answer
    x = 672,146.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.