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Finding the Third Proportional to 201,628 and 297,844

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Solution

The third proportional to 201,628 and 297,844 is: 439,973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,628 : 297,844 = 297,844 : x
  2. Step 2: Convert to fraction form
    201,628/297,844 = 297,844/x
  3. Step 3: Cross multiply
    201,628x = 297,844 × 297,844
  4. Step 4: Simplify right side
    201,628x = 88,711,048,336
  5. Step 5: Solve for x
    x = 88,711,048,336/201,628
  6. Step 6: Final answer
    x = 439,973.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.