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Finding the Third Proportional to 148,527 and 231,903

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Solution

The third proportional to 148,527 and 231,903 is: 362,082.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,527 : 231,903 = 231,903 : x
  2. Step 2: Convert to fraction form
    148,527/231,903 = 231,903/x
  3. Step 3: Cross multiply
    148,527x = 231,903 × 231,903
  4. Step 4: Simplify right side
    148,527x = 53,779,001,409
  5. Step 5: Solve for x
    x = 53,779,001,409/148,527
  6. Step 6: Final answer
    x = 362,082.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.