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Finding the Third Proportional to 154,328.63 and 231,903

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Solution

The third proportional to 154,328.63 and 231,903 is: 348,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,328.63 : 231,903 = 231,903 : x
  2. Step 2: Convert to fraction form
    154,328.63/231,903 = 231,903/x
  3. Step 3: Cross multiply
    154,328.63x = 231,903 × 231,903
  4. Step 4: Simplify right side
    154,328.63x = 53,779,001,409
  5. Step 5: Solve for x
    x = 53,779,001,409/154,328.63
  6. Step 6: Final answer
    x = 348,470.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.