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Finding the Third Proportional to 74,256 and 163,248

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Solution

The third proportional to 74,256 and 163,248 is: 358,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,256 : 163,248 = 163,248 : x
  2. Step 2: Convert to fraction form
    74,256/163,248 = 163,248/x
  3. Step 3: Cross multiply
    74,256x = 163,248 × 163,248
  4. Step 4: Simplify right side
    74,256x = 26,649,909,504
  5. Step 5: Solve for x
    x = 26,649,909,504/74,256
  6. Step 6: Final answer
    x = 358,892.34

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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.