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Finding the Third Proportional to 154,656 and 235,224

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Solution

The third proportional to 154,656 and 235,224 is: 357,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,656 : 235,224 = 235,224 : x
  2. Step 2: Convert to fraction form
    154,656/235,224 = 235,224/x
  3. Step 3: Cross multiply
    154,656x = 235,224 × 235,224
  4. Step 4: Simplify right side
    154,656x = 55,330,330,176
  5. Step 5: Solve for x
    x = 55,330,330,176/154,656
  6. Step 6: Final answer
    x = 357,763.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.