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Finding the Third Proportional to 201,176 and 435,020

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Solution

The third proportional to 201,176 and 435,020 is: 940,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,176 : 435,020 = 435,020 : x
  2. Step 2: Convert to fraction form
    201,176/435,020 = 435,020/x
  3. Step 3: Cross multiply
    201,176x = 435,020 × 435,020
  4. Step 4: Simplify right side
    201,176x = 189,242,400,400
  5. Step 5: Solve for x
    x = 189,242,400,400/201,176
  6. Step 6: Final answer
    x = 940,680.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.