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Finding the Third Proportional to 163,478.25 and 353,216.25

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Solution

The third proportional to 163,478.25 and 353,216.25 is: 763,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,478.25 : 353,216.25 = 353,216.25 : x
  2. Step 2: Convert to fraction form
    163,478.25/353,216.25 = 353,216.25/x
  3. Step 3: Cross multiply
    163,478.25x = 353,216.25 × 353,216.25
  4. Step 4: Simplify right side
    163,478.25x = 124,761,719,264.06
  5. Step 5: Solve for x
    x = 124,761,719,264.06/163,478.25
  6. Step 6: Final answer
    x = 763,170.14

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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.