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Finding the Third Proportional to 201,748.50 and 436,896

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Solution

The third proportional to 201,748.50 and 436,896 is: 946,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,748.50 : 436,896 = 436,896 : x
  2. Step 2: Convert to fraction form
    201,748.50/436,896 = 436,896/x
  3. Step 3: Cross multiply
    201,748.50x = 436,896 × 436,896
  4. Step 4: Simplify right side
    201,748.50x = 190,878,114,816
  5. Step 5: Solve for x
    x = 190,878,114,816/201,748.50
  6. Step 6: Final answer
    x = 946,119.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.