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Finding the Third Proportional to 128,184 and 197,136

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Solution

The third proportional to 128,184 and 197,136 is: 303,178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,184 : 197,136 = 197,136 : x
  2. Step 2: Convert to fraction form
    128,184/197,136 = 197,136/x
  3. Step 3: Cross multiply
    128,184x = 197,136 × 197,136
  4. Step 4: Simplify right side
    128,184x = 38,862,602,496
  5. Step 5: Solve for x
    x = 38,862,602,496/128,184
  6. Step 6: Final answer
    x = 303,178.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.