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Finding the Third Proportional to 163,447.88 and 354,020.63

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Solution

The third proportional to 163,447.88 and 354,020.63 is: 766,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,447.88 : 354,020.63 = 354,020.63 : x
  2. Step 2: Convert to fraction form
    163,447.88/354,020.63 = 354,020.63/x
  3. Step 3: Cross multiply
    163,447.88x = 354,020.63 × 354,020.63
  4. Step 4: Simplify right side
    163,447.88x = 125,330,602,925.39
  5. Step 5: Solve for x
    x = 125,330,602,925.39/163,447.88
  6. Step 6: Final answer
    x = 766,792.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.