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Finding the Third Proportional to 200,734 and 295,557

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Solution

The third proportional to 200,734 and 295,557 is: 435,172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,734 : 295,557 = 295,557 : x
  2. Step 2: Convert to fraction form
    200,734/295,557 = 295,557/x
  3. Step 3: Cross multiply
    200,734x = 295,557 × 295,557
  4. Step 4: Simplify right side
    200,734x = 87,353,940,249
  5. Step 5: Solve for x
    x = 87,353,940,249/200,734
  6. Step 6: Final answer
    x = 435,172.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.