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Finding the Third Proportional to 201,598 and 313,557

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Solution

The third proportional to 201,598 and 313,557 is: 487,693.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,598 : 313,557 = 313,557 : x
  2. Step 2: Convert to fraction form
    201,598/313,557 = 313,557/x
  3. Step 3: Cross multiply
    201,598x = 313,557 × 313,557
  4. Step 4: Simplify right side
    201,598x = 98,317,992,249
  5. Step 5: Solve for x
    x = 98,317,992,249/201,598
  6. Step 6: Final answer
    x = 487,693.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.