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Finding the Third Proportional to 118,575.56 and 256,991.06

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Solution

The third proportional to 118,575.56 and 256,991.06 is: 556,981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,575.56 : 256,991.06 = 256,991.06 : x
  2. Step 2: Convert to fraction form
    118,575.56/256,991.06 = 256,991.06/x
  3. Step 3: Cross multiply
    118,575.56x = 256,991.06 × 256,991.06
  4. Step 4: Simplify right side
    118,575.56x = 66,044,406,204.88
  5. Step 5: Solve for x
    x = 66,044,406,204.88/118,575.56
  6. Step 6: Final answer
    x = 556,981.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.