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Finding the Third Proportional to 163,447.50 and 356,784

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Solution

The third proportional to 163,447.50 and 356,784 is: 778,811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,447.50 : 356,784 = 356,784 : x
  2. Step 2: Convert to fraction form
    163,447.50/356,784 = 356,784/x
  3. Step 3: Cross multiply
    163,447.50x = 356,784 × 356,784
  4. Step 4: Simplify right side
    163,447.50x = 127,294,822,656
  5. Step 5: Solve for x
    x = 127,294,822,656/163,447.50
  6. Step 6: Final answer
    x = 778,811.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.