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Finding the Third Proportional to 154,023.75 and 310,334.63

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Solution

The third proportional to 154,023.75 and 310,334.63 is: 625,277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,023.75 : 310,334.63 = 310,334.63 : x
  2. Step 2: Convert to fraction form
    154,023.75/310,334.63 = 310,334.63/x
  3. Step 3: Cross multiply
    154,023.75x = 310,334.63 × 310,334.63
  4. Step 4: Simplify right side
    154,023.75x = 96,307,579,473.89
  5. Step 5: Solve for x
    x = 96,307,579,473.89/154,023.75
  6. Step 6: Final answer
    x = 625,277.46

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.