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Finding the Third Proportional to 146,145.75 and 314,049

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Solution

The third proportional to 146,145.75 and 314,049 is: 674,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,145.75 : 314,049 = 314,049 : x
  2. Step 2: Convert to fraction form
    146,145.75/314,049 = 314,049/x
  3. Step 3: Cross multiply
    146,145.75x = 314,049 × 314,049
  4. Step 4: Simplify right side
    146,145.75x = 98,626,774,401
  5. Step 5: Solve for x
    x = 98,626,774,401/146,145.75
  6. Step 6: Final answer
    x = 674,852.16

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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.