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Finding the Third Proportional to 163,802 and 357,250

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Solution

The third proportional to 163,802 and 357,250 is: 779,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,802 : 357,250 = 357,250 : x
  2. Step 2: Convert to fraction form
    163,802/357,250 = 357,250/x
  3. Step 3: Cross multiply
    163,802x = 357,250 × 357,250
  4. Step 4: Simplify right side
    163,802x = 127,627,562,500
  5. Step 5: Solve for x
    x = 127,627,562,500/163,802
  6. Step 6: Final answer
    x = 779,157.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.