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Finding the Third Proportional to 74,390 and 163,522

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Solution

The third proportional to 74,390 and 163,522 is: 359,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,390 : 163,522 = 163,522 : x
  2. Step 2: Convert to fraction form
    74,390/163,522 = 163,522/x
  3. Step 3: Cross multiply
    74,390x = 163,522 × 163,522
  4. Step 4: Simplify right side
    74,390x = 26,739,444,484
  5. Step 5: Solve for x
    x = 26,739,444,484/74,390
  6. Step 6: Final answer
    x = 359,449.45

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