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Finding the Third Proportional to 216,436 and 332,862

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Solution

The third proportional to 216,436 and 332,862 is: 511,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,436 : 332,862 = 332,862 : x
  2. Step 2: Convert to fraction form
    216,436/332,862 = 332,862/x
  3. Step 3: Cross multiply
    216,436x = 332,862 × 332,862
  4. Step 4: Simplify right side
    216,436x = 110,797,111,044
  5. Step 5: Solve for x
    x = 110,797,111,044/216,436
  6. Step 6: Final answer
    x = 511,916.28

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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.