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Finding the Third Proportional to 112,970.50 and 243,451

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Solution

The third proportional to 112,970.50 and 243,451 is: 524,635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,970.50 : 243,451 = 243,451 : x
  2. Step 2: Convert to fraction form
    112,970.50/243,451 = 243,451/x
  3. Step 3: Cross multiply
    112,970.50x = 243,451 × 243,451
  4. Step 4: Simplify right side
    112,970.50x = 59,268,389,401
  5. Step 5: Solve for x
    x = 59,268,389,401/112,970.50
  6. Step 6: Final answer
    x = 524,635.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.