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Finding the Third Proportional to 154,534 and 325,950

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Solution

The third proportional to 154,534 and 325,950 is: 687,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,534 : 325,950 = 325,950 : x
  2. Step 2: Convert to fraction form
    154,534/325,950 = 325,950/x
  3. Step 3: Cross multiply
    154,534x = 325,950 × 325,950
  4. Step 4: Simplify right side
    154,534x = 106,243,402,500
  5. Step 5: Solve for x
    x = 106,243,402,500/154,534
  6. Step 6: Final answer
    x = 687,508.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.