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Finding the Third Proportional to 146,065 and 231,090

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Solution

The third proportional to 146,065 and 231,090 is: 365,608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,065 : 231,090 = 231,090 : x
  2. Step 2: Convert to fraction form
    146,065/231,090 = 231,090/x
  3. Step 3: Cross multiply
    146,065x = 231,090 × 231,090
  4. Step 4: Simplify right side
    146,065x = 53,402,588,100
  5. Step 5: Solve for x
    x = 53,402,588,100/146,065
  6. Step 6: Final answer
    x = 365,608.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.