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Finding the Third Proportional to 163,491 and 253,255.50

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Solution

The third proportional to 163,491 and 253,255.50 is: 392,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,491 : 253,255.50 = 253,255.50 : x
  2. Step 2: Convert to fraction form
    163,491/253,255.50 = 253,255.50/x
  3. Step 3: Cross multiply
    163,491x = 253,255.50 × 253,255.50
  4. Step 4: Simplify right side
    163,491x = 64,138,348,280.25
  5. Step 5: Solve for x
    x = 64,138,348,280.25/163,491
  6. Step 6: Final answer
    x = 392,305.07

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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.