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Finding the Third Proportional to 163,582 and 350,815

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Solution

The third proportional to 163,582 and 350,815 is: 752,351.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,582 : 350,815 = 350,815 : x
  2. Step 2: Convert to fraction form
    163,582/350,815 = 350,815/x
  3. Step 3: Cross multiply
    163,582x = 350,815 × 350,815
  4. Step 4: Simplify right side
    163,582x = 123,071,164,225
  5. Step 5: Solve for x
    x = 123,071,164,225/163,582
  6. Step 6: Final answer
    x = 752,351.51

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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.