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Finding the Third Proportional to 201,526.50 and 439,893

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Solution

The third proportional to 201,526.50 and 439,893 is: 960,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,526.50 : 439,893 = 439,893 : x
  2. Step 2: Convert to fraction form
    201,526.50/439,893 = 439,893/x
  3. Step 3: Cross multiply
    201,526.50x = 439,893 × 439,893
  4. Step 4: Simplify right side
    201,526.50x = 193,505,851,449
  5. Step 5: Solve for x
    x = 193,505,851,449/201,526.50
  6. Step 6: Final answer
    x = 960,200.53

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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.