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Finding the Third Proportional to 318,111.75 and 418,108.50

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Solution

The third proportional to 318,111.75 and 418,108.50 is: 549,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,111.75 : 418,108.50 = 418,108.50 : x
  2. Step 2: Convert to fraction form
    318,111.75/418,108.50 = 418,108.50/x
  3. Step 3: Cross multiply
    318,111.75x = 418,108.50 × 418,108.50
  4. Step 4: Simplify right side
    318,111.75x = 174,814,717,772.25
  5. Step 5: Solve for x
    x = 174,814,717,772.25/318,111.75
  6. Step 6: Final answer
    x = 549,538.70

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.