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Finding the Third Proportional to 163,800.56 and 257,002.03

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Solution

The third proportional to 163,800.56 and 257,002.03 is: 403,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,800.56 : 257,002.03 = 257,002.03 : x
  2. Step 2: Convert to fraction form
    163,800.56/257,002.03 = 257,002.03/x
  3. Step 3: Cross multiply
    163,800.56x = 257,002.03 × 257,002.03
  4. Step 4: Simplify right side
    163,800.56x = 66,050,044,066.63
  5. Step 5: Solve for x
    x = 66,050,044,066.63/163,800.56
  6. Step 6: Final answer
    x = 403,234.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.