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Finding the Third Proportional to 74,340 and 163,440

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Solution

The third proportional to 74,340 and 163,440 is: 359,330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,340 : 163,440 = 163,440 : x
  2. Step 2: Convert to fraction form
    74,340/163,440 = 163,440/x
  3. Step 3: Cross multiply
    74,340x = 163,440 × 163,440
  4. Step 4: Simplify right side
    74,340x = 26,712,633,600
  5. Step 5: Solve for x
    x = 26,712,633,600/74,340
  6. Step 6: Final answer
    x = 359,330.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.