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Finding the Third Proportional to 201,628 and 297,842

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Solution

The third proportional to 201,628 and 297,842 is: 439,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,628 : 297,842 = 297,842 : x
  2. Step 2: Convert to fraction form
    201,628/297,842 = 297,842/x
  3. Step 3: Cross multiply
    201,628x = 297,842 × 297,842
  4. Step 4: Simplify right side
    201,628x = 88,709,856,964
  5. Step 5: Solve for x
    x = 88,709,856,964/201,628
  6. Step 6: Final answer
    x = 439,967.95

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