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Finding the Third Proportional to 146,148 and 314,053

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Solution

The third proportional to 146,148 and 314,053 is: 674,858.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,148 : 314,053 = 314,053 : x
  2. Step 2: Convert to fraction form
    146,148/314,053 = 314,053/x
  3. Step 3: Cross multiply
    146,148x = 314,053 × 314,053
  4. Step 4: Simplify right side
    146,148x = 98,629,286,809
  5. Step 5: Solve for x
    x = 98,629,286,809/146,148
  6. Step 6: Final answer
    x = 674,858.96

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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.