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Finding the Third Proportional to 200,734 and 433,148

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Solution

The third proportional to 200,734 and 433,148 is: 934,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,734 : 433,148 = 433,148 : x
  2. Step 2: Convert to fraction form
    200,734/433,148 = 433,148/x
  3. Step 3: Cross multiply
    200,734x = 433,148 × 433,148
  4. Step 4: Simplify right side
    200,734x = 187,617,189,904
  5. Step 5: Solve for x
    x = 187,617,189,904/200,734
  6. Step 6: Final answer
    x = 934,655.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.