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Finding the Third Proportional to 174,526.88 and 280,012.50

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Solution

The third proportional to 174,526.88 and 280,012.50 is: 449,254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,526.88 : 280,012.50 = 280,012.50 : x
  2. Step 2: Convert to fraction form
    174,526.88/280,012.50 = 280,012.50/x
  3. Step 3: Cross multiply
    174,526.88x = 280,012.50 × 280,012.50
  4. Step 4: Simplify right side
    174,526.88x = 78,407,000,156.25
  5. Step 5: Solve for x
    x = 78,407,000,156.25/174,526.88
  6. Step 6: Final answer
    x = 449,254.59

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.