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Finding the Third Proportional to 163,597 and 350,522

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Solution

The third proportional to 163,597 and 350,522 is: 751,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,597 : 350,522 = 350,522 : x
  2. Step 2: Convert to fraction form
    163,597/350,522 = 350,522/x
  3. Step 3: Cross multiply
    163,597x = 350,522 × 350,522
  4. Step 4: Simplify right side
    163,597x = 122,865,672,484
  5. Step 5: Solve for x
    x = 122,865,672,484/163,597
  6. Step 6: Final answer
    x = 751,026.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.