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Finding the Third Proportional to 199,430 and 296,014

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Solution

The third proportional to 199,430 and 296,014 is: 439,373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,430 : 296,014 = 296,014 : x
  2. Step 2: Convert to fraction form
    199,430/296,014 = 296,014/x
  3. Step 3: Cross multiply
    199,430x = 296,014 × 296,014
  4. Step 4: Simplify right side
    199,430x = 87,624,288,196
  5. Step 5: Solve for x
    x = 87,624,288,196/199,430
  6. Step 6: Final answer
    x = 439,373.66

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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.