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Finding the Third Proportional to 171,428 and 351,208

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Solution

The third proportional to 171,428 and 351,208 is: 719,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,428 : 351,208 = 351,208 : x
  2. Step 2: Convert to fraction form
    171,428/351,208 = 351,208/x
  3. Step 3: Cross multiply
    171,428x = 351,208 × 351,208
  4. Step 4: Simplify right side
    171,428x = 123,347,059,264
  5. Step 5: Solve for x
    x = 123,347,059,264/171,428
  6. Step 6: Final answer
    x = 719,526.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.