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Finding the Third Proportional to 159,473 and 343,522

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Solution

The third proportional to 159,473 and 343,522 is: 739,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,473 : 343,522 = 343,522 : x
  2. Step 2: Convert to fraction form
    159,473/343,522 = 343,522/x
  3. Step 3: Cross multiply
    159,473x = 343,522 × 343,522
  4. Step 4: Simplify right side
    159,473x = 118,007,364,484
  5. Step 5: Solve for x
    x = 118,007,364,484/159,473
  6. Step 6: Final answer
    x = 739,983.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.