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Finding the Third Proportional to 199,428 and 296,011

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Solution

The third proportional to 199,428 and 296,011 is: 439,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,428 : 296,011 = 296,011 : x
  2. Step 2: Convert to fraction form
    199,428/296,011 = 296,011/x
  3. Step 3: Cross multiply
    199,428x = 296,011 × 296,011
  4. Step 4: Simplify right side
    199,428x = 87,622,512,121
  5. Step 5: Solve for x
    x = 87,622,512,121/199,428
  6. Step 6: Final answer
    x = 439,369.16

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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.