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Finding the Third Proportional to 159,470 and 216,669

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Solution

The third proportional to 159,470 and 216,669 is: 294,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,470 : 216,669 = 216,669 : x
  2. Step 2: Convert to fraction form
    159,470/216,669 = 216,669/x
  3. Step 3: Cross multiply
    159,470x = 216,669 × 216,669
  4. Step 4: Simplify right side
    159,470x = 46,945,455,561
  5. Step 5: Solve for x
    x = 46,945,455,561/159,470
  6. Step 6: Final answer
    x = 294,384.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.