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Finding the Third Proportional to 146,103.75 and 314,776.13

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Solution

The third proportional to 146,103.75 and 314,776.13 is: 678,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,103.75 : 314,776.13 = 314,776.13 : x
  2. Step 2: Convert to fraction form
    146,103.75/314,776.13 = 314,776.13/x
  3. Step 3: Cross multiply
    146,103.75x = 314,776.13 × 314,776.13
  4. Step 4: Simplify right side
    146,103.75x = 99,084,008,870.02
  5. Step 5: Solve for x
    x = 99,084,008,870.02/146,103.75
  6. Step 6: Final answer
    x = 678,175.67

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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.