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Finding the Third Proportional to 130,816.75 and 282,546.50

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Solution

The third proportional to 130,816.75 and 282,546.50 is: 610,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,816.75 : 282,546.50 = 282,546.50 : x
  2. Step 2: Convert to fraction form
    130,816.75/282,546.50 = 282,546.50/x
  3. Step 3: Cross multiply
    130,816.75x = 282,546.50 × 282,546.50
  4. Step 4: Simplify right side
    130,816.75x = 79,832,524,662.25
  5. Step 5: Solve for x
    x = 79,832,524,662.25/130,816.75
  6. Step 6: Final answer
    x = 610,262.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.