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Finding the Third Proportional to 233,186 and 342,122

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Solution

The third proportional to 233,186 and 342,122 is: 501,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,186 : 342,122 = 342,122 : x
  2. Step 2: Convert to fraction form
    233,186/342,122 = 342,122/x
  3. Step 3: Cross multiply
    233,186x = 342,122 × 342,122
  4. Step 4: Simplify right side
    233,186x = 117,047,462,884
  5. Step 5: Solve for x
    x = 117,047,462,884/233,186
  6. Step 6: Final answer
    x = 501,948.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.