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Finding the Third Proportional to 146,415.75 and 296,906.25

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Solution

The third proportional to 146,415.75 and 296,906.25 is: 602,075.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,415.75 : 296,906.25 = 296,906.25 : x
  2. Step 2: Convert to fraction form
    146,415.75/296,906.25 = 296,906.25/x
  3. Step 3: Cross multiply
    146,415.75x = 296,906.25 × 296,906.25
  4. Step 4: Simplify right side
    146,415.75x = 88,153,321,289.06
  5. Step 5: Solve for x
    x = 88,153,321,289.06/146,415.75
  6. Step 6: Final answer
    x = 602,075.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.