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Finding the Third Proportional to 242,595 and 349,750.50

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Solution

The third proportional to 242,595 and 349,750.50 is: 504,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,595 : 349,750.50 = 349,750.50 : x
  2. Step 2: Convert to fraction form
    242,595/349,750.50 = 349,750.50/x
  3. Step 3: Cross multiply
    242,595x = 349,750.50 × 349,750.50
  4. Step 4: Simplify right side
    242,595x = 122,325,412,250.25
  5. Step 5: Solve for x
    x = 122,325,412,250.25/242,595
  6. Step 6: Final answer
    x = 504,237.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.