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Finding the Third Proportional to 240,181.50 and 347,878.50

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Solution

The third proportional to 240,181.50 and 347,878.50 is: 503,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,181.50 : 347,878.50 = 347,878.50 : x
  2. Step 2: Convert to fraction form
    240,181.50/347,878.50 = 347,878.50/x
  3. Step 3: Cross multiply
    240,181.50x = 347,878.50 × 347,878.50
  4. Step 4: Simplify right side
    240,181.50x = 121,019,450,762.25
  5. Step 5: Solve for x
    x = 121,019,450,762.25/240,181.50
  6. Step 6: Final answer
    x = 503,866.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.