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Finding the Third Proportional to 154,856 and 236,724

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Solution

The third proportional to 154,856 and 236,724 is: 361,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,856 : 236,724 = 236,724 : x
  2. Step 2: Convert to fraction form
    154,856/236,724 = 236,724/x
  3. Step 3: Cross multiply
    154,856x = 236,724 × 236,724
  4. Step 4: Simplify right side
    154,856x = 56,038,252,176
  5. Step 5: Solve for x
    x = 56,038,252,176/154,856
  6. Step 6: Final answer
    x = 361,873.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.