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Finding the Third Proportional to 143,617 and 201,248

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Solution

The third proportional to 143,617 and 201,248 is: 282,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,617 : 201,248 = 201,248 : x
  2. Step 2: Convert to fraction form
    143,617/201,248 = 201,248/x
  3. Step 3: Cross multiply
    143,617x = 201,248 × 201,248
  4. Step 4: Simplify right side
    143,617x = 40,500,757,504
  5. Step 5: Solve for x
    x = 40,500,757,504/143,617
  6. Step 6: Final answer
    x = 282,005.32

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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.