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Finding the Third Proportional to 201,447 and 302,170.50

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Solution

The third proportional to 201,447 and 302,170.50 is: 453,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,447 : 302,170.50 = 302,170.50 : x
  2. Step 2: Convert to fraction form
    201,447/302,170.50 = 302,170.50/x
  3. Step 3: Cross multiply
    201,447x = 302,170.50 × 302,170.50
  4. Step 4: Simplify right side
    201,447x = 91,307,011,070.25
  5. Step 5: Solve for x
    x = 91,307,011,070.25/201,447
  6. Step 6: Final answer
    x = 453,255.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.