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Finding the Third Proportional to 128,915 and 199,206

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Solution

The third proportional to 128,915 and 199,206 is: 307,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,915 : 199,206 = 199,206 : x
  2. Step 2: Convert to fraction form
    128,915/199,206 = 199,206/x
  3. Step 3: Cross multiply
    128,915x = 199,206 × 199,206
  4. Step 4: Simplify right side
    128,915x = 39,683,030,436
  5. Step 5: Solve for x
    x = 39,683,030,436/128,915
  6. Step 6: Final answer
    x = 307,823.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.