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Finding the Third Proportional to 254,829 and 306,036.75

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Solution

The third proportional to 254,829 and 306,036.75 is: 367,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,829 : 306,036.75 = 306,036.75 : x
  2. Step 2: Convert to fraction form
    254,829/306,036.75 = 306,036.75/x
  3. Step 3: Cross multiply
    254,829x = 306,036.75 × 306,036.75
  4. Step 4: Simplify right side
    254,829x = 93,658,492,350.56
  5. Step 5: Solve for x
    x = 93,658,492,350.56/254,829
  6. Step 6: Final answer
    x = 367,534.67

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.