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Finding the Third Proportional to 163,669 and 353,148

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Solution

The third proportional to 163,669 and 353,148 is: 761,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,669 : 353,148 = 353,148 : x
  2. Step 2: Convert to fraction form
    163,669/353,148 = 353,148/x
  3. Step 3: Cross multiply
    163,669x = 353,148 × 353,148
  4. Step 4: Simplify right side
    163,669x = 124,713,509,904
  5. Step 5: Solve for x
    x = 124,713,509,904/163,669
  6. Step 6: Final answer
    x = 761,986.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.