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Finding the Third Proportional to 146,130.75 and 313,287.75

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Solution

The third proportional to 146,130.75 and 313,287.75 is: 671,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,130.75 : 313,287.75 = 313,287.75 : x
  2. Step 2: Convert to fraction form
    146,130.75/313,287.75 = 313,287.75/x
  3. Step 3: Cross multiply
    146,130.75x = 313,287.75 × 313,287.75
  4. Step 4: Simplify right side
    146,130.75x = 98,149,214,300.06
  5. Step 5: Solve for x
    x = 98,149,214,300.06/146,130.75
  6. Step 6: Final answer
    x = 671,653.39

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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.