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Finding the Third Proportional to 201,352 and 282,252

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Solution

The third proportional to 201,352 and 282,252 is: 395,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,352 : 282,252 = 282,252 : x
  2. Step 2: Convert to fraction form
    201,352/282,252 = 282,252/x
  3. Step 3: Cross multiply
    201,352x = 282,252 × 282,252
  4. Step 4: Simplify right side
    201,352x = 79,666,191,504
  5. Step 5: Solve for x
    x = 79,666,191,504/201,352
  6. Step 6: Final answer
    x = 395,656.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.