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Finding the Third Proportional to 163,850 and 352,888

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Solution

The third proportional to 163,850 and 352,888 is: 760,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,850 : 352,888 = 352,888 : x
  2. Step 2: Convert to fraction form
    163,850/352,888 = 352,888/x
  3. Step 3: Cross multiply
    163,850x = 352,888 × 352,888
  4. Step 4: Simplify right side
    163,850x = 124,529,940,544
  5. Step 5: Solve for x
    x = 124,529,940,544/163,850
  6. Step 6: Final answer
    x = 760,024.05

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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.