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Finding the Third Proportional to 201,178.69 and 426,343.50

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Solution

The third proportional to 201,178.69 and 426,343.50 is: 903,519.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,178.69 : 426,343.50 = 426,343.50 : x
  2. Step 2: Convert to fraction form
    201,178.69/426,343.50 = 426,343.50/x
  3. Step 3: Cross multiply
    201,178.69x = 426,343.50 × 426,343.50
  4. Step 4: Simplify right side
    201,178.69x = 181,768,779,992.25
  5. Step 5: Solve for x
    x = 181,768,779,992.25/201,178.69
  6. Step 6: Final answer
    x = 903,519.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.