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Finding the Third Proportional to 132,368 and 204,728

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Solution

The third proportional to 132,368 and 204,728 is: 316,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,368 : 204,728 = 204,728 : x
  2. Step 2: Convert to fraction form
    132,368/204,728 = 204,728/x
  3. Step 3: Cross multiply
    132,368x = 204,728 × 204,728
  4. Step 4: Simplify right side
    132,368x = 41,913,553,984
  5. Step 5: Solve for x
    x = 41,913,553,984/132,368
  6. Step 6: Final answer
    x = 316,644.16

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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.