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Finding the Third Proportional to 201,178 and 435,024

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Solution

The third proportional to 201,178 and 435,024 is: 940,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,178 : 435,024 = 435,024 : x
  2. Step 2: Convert to fraction form
    201,178/435,024 = 435,024/x
  3. Step 3: Cross multiply
    201,178x = 435,024 × 435,024
  4. Step 4: Simplify right side
    201,178x = 189,245,880,576
  5. Step 5: Solve for x
    x = 189,245,880,576/201,178
  6. Step 6: Final answer
    x = 940,688.75

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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.