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Finding the Third Proportional to 202,417 and 301,984

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Solution

The third proportional to 202,417 and 301,984 is: 450,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,417 : 301,984 = 301,984 : x
  2. Step 2: Convert to fraction form
    202,417/301,984 = 301,984/x
  3. Step 3: Cross multiply
    202,417x = 301,984 × 301,984
  4. Step 4: Simplify right side
    202,417x = 91,194,336,256
  5. Step 5: Solve for x
    x = 91,194,336,256/202,417
  6. Step 6: Final answer
    x = 450,527.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.