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Finding the Third Proportional to 130,990.50 and 282,015

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Solution

The third proportional to 130,990.50 and 282,015 is: 607,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,990.50 : 282,015 = 282,015 : x
  2. Step 2: Convert to fraction form
    130,990.50/282,015 = 282,015/x
  3. Step 3: Cross multiply
    130,990.50x = 282,015 × 282,015
  4. Step 4: Simplify right side
    130,990.50x = 79,532,460,225
  5. Step 5: Solve for x
    x = 79,532,460,225/130,990.50
  6. Step 6: Final answer
    x = 607,162.05

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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.