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Finding the Third Proportional to 231,030 and 354,894

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Solution

The third proportional to 231,030 and 354,894 is: 545,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,030 : 354,894 = 354,894 : x
  2. Step 2: Convert to fraction form
    231,030/354,894 = 354,894/x
  3. Step 3: Cross multiply
    231,030x = 354,894 × 354,894
  4. Step 4: Simplify right side
    231,030x = 125,949,751,236
  5. Step 5: Solve for x
    x = 125,949,751,236/231,030
  6. Step 6: Final answer
    x = 545,166.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.