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Finding the Third Proportional to 201,531 and 439,903.50

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Solution

The third proportional to 201,531 and 439,903.50 is: 960,224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,531 : 439,903.50 = 439,903.50 : x
  2. Step 2: Convert to fraction form
    201,531/439,903.50 = 439,903.50/x
  3. Step 3: Cross multiply
    201,531x = 439,903.50 × 439,903.50
  4. Step 4: Simplify right side
    201,531x = 193,515,089,312.25
  5. Step 5: Solve for x
    x = 193,515,089,312.25/201,531
  6. Step 6: Final answer
    x = 960,224.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.