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Finding the Third Proportional to 163,684.50 and 352,398

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Solution

The third proportional to 163,684.50 and 352,398 is: 758,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,684.50 : 352,398 = 352,398 : x
  2. Step 2: Convert to fraction form
    163,684.50/352,398 = 352,398/x
  3. Step 3: Cross multiply
    163,684.50x = 352,398 × 352,398
  4. Step 4: Simplify right side
    163,684.50x = 124,184,350,404
  5. Step 5: Solve for x
    x = 124,184,350,404/163,684.50
  6. Step 6: Final answer
    x = 758,681.18

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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.