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Finding the Third Proportional to 242,974.50 and 359,679

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Solution

The third proportional to 242,974.50 and 359,679 is: 532,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,974.50 : 359,679 = 359,679 : x
  2. Step 2: Convert to fraction form
    242,974.50/359,679 = 359,679/x
  3. Step 3: Cross multiply
    242,974.50x = 359,679 × 359,679
  4. Step 4: Simplify right side
    242,974.50x = 129,368,983,041
  5. Step 5: Solve for x
    x = 129,368,983,041/242,974.50
  6. Step 6: Final answer
    x = 532,438.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.