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Finding the Third Proportional to 131,160.66 and 282,388.22

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Solution

The third proportional to 131,160.66 and 282,388.22 is: 607,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,160.66 : 282,388.22 = 282,388.22 : x
  2. Step 2: Convert to fraction form
    131,160.66/282,388.22 = 282,388.22/x
  3. Step 3: Cross multiply
    131,160.66x = 282,388.22 × 282,388.22
  4. Step 4: Simplify right side
    131,160.66x = 79,743,106,088.80
  5. Step 5: Solve for x
    x = 79,743,106,088.80/131,160.66
  6. Step 6: Final answer
    x = 607,980.38

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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.