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Finding the Third Proportional to 201,550 and 297,711

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Solution

The third proportional to 201,550 and 297,711 is: 439,751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,550 : 297,711 = 297,711 : x
  2. Step 2: Convert to fraction form
    201,550/297,711 = 297,711/x
  3. Step 3: Cross multiply
    201,550x = 297,711 × 297,711
  4. Step 4: Simplify right side
    201,550x = 88,631,839,521
  5. Step 5: Solve for x
    x = 88,631,839,521/201,550
  6. Step 6: Final answer
    x = 439,751.13

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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.