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Finding the Third Proportional to 130,656.16 and 183,998.46

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Solution

The third proportional to 130,656.16 and 183,998.46 is: 259,118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,656.16 : 183,998.46 = 183,998.46 : x
  2. Step 2: Convert to fraction form
    130,656.16/183,998.46 = 183,998.46/x
  3. Step 3: Cross multiply
    130,656.16x = 183,998.46 × 183,998.46
  4. Step 4: Simplify right side
    130,656.16x = 33,855,433,627.37
  5. Step 5: Solve for x
    x = 33,855,433,627.37/130,656.16
  6. Step 6: Final answer
    x = 259,118.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.