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Finding the Third Proportional to 132,813 and 200,329.50

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Solution

The third proportional to 132,813 and 200,329.50 is: 302,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,813 : 200,329.50 = 200,329.50 : x
  2. Step 2: Convert to fraction form
    132,813/200,329.50 = 200,329.50/x
  3. Step 3: Cross multiply
    132,813x = 200,329.50 × 200,329.50
  4. Step 4: Simplify right side
    132,813x = 40,131,908,570.25
  5. Step 5: Solve for x
    x = 40,131,908,570.25/132,813
  6. Step 6: Final answer
    x = 302,168.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.