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Finding the Third Proportional to 233,194 and 360,099

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Solution

The third proportional to 233,194 and 360,099 is: 556,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,194 : 360,099 = 360,099 : x
  2. Step 2: Convert to fraction form
    233,194/360,099 = 360,099/x
  3. Step 3: Cross multiply
    233,194x = 360,099 × 360,099
  4. Step 4: Simplify right side
    233,194x = 129,671,289,801
  5. Step 5: Solve for x
    x = 129,671,289,801/233,194
  6. Step 6: Final answer
    x = 556,066.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.