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Finding the Third Proportional to 146,491.03 and 310,975.45

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Solution

The third proportional to 146,491.03 and 310,975.45 is: 660,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,491.03 : 310,975.45 = 310,975.45 : x
  2. Step 2: Convert to fraction form
    146,491.03/310,975.45 = 310,975.45/x
  3. Step 3: Cross multiply
    146,491.03x = 310,975.45 × 310,975.45
  4. Step 4: Simplify right side
    146,491.03x = 96,705,732,446.30
  5. Step 5: Solve for x
    x = 96,705,732,446.30/146,491.03
  6. Step 6: Final answer
    x = 660,147.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.