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Finding the Third Proportional to 148,906 and 233,080

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Solution

The third proportional to 148,906 and 233,080 is: 364,836.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,906 : 233,080 = 233,080 : x
  2. Step 2: Convert to fraction form
    148,906/233,080 = 233,080/x
  3. Step 3: Cross multiply
    148,906x = 233,080 × 233,080
  4. Step 4: Simplify right side
    148,906x = 54,326,286,400
  5. Step 5: Solve for x
    x = 54,326,286,400/148,906
  6. Step 6: Final answer
    x = 364,836.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.