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Finding the Third Proportional to 201,461.50 and 438,509

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Solution

The third proportional to 201,461.50 and 438,509 is: 954,475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,461.50 : 438,509 = 438,509 : x
  2. Step 2: Convert to fraction form
    201,461.50/438,509 = 438,509/x
  3. Step 3: Cross multiply
    201,461.50x = 438,509 × 438,509
  4. Step 4: Simplify right side
    201,461.50x = 192,290,143,081
  5. Step 5: Solve for x
    x = 192,290,143,081/201,461.50
  6. Step 6: Final answer
    x = 954,475.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.