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Finding the Third Proportional to 163,280.25 and 252,303.75

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Solution

The third proportional to 163,280.25 and 252,303.75 is: 389,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,280.25 : 252,303.75 = 252,303.75 : x
  2. Step 2: Convert to fraction form
    163,280.25/252,303.75 = 252,303.75/x
  3. Step 3: Cross multiply
    163,280.25x = 252,303.75 × 252,303.75
  4. Step 4: Simplify right side
    163,280.25x = 63,657,182,264.06
  5. Step 5: Solve for x
    x = 63,657,182,264.06/163,280.25
  6. Step 6: Final answer
    x = 389,864.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.