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Finding the Third Proportional to 174,988.69 and 255,921.19

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Solution

The third proportional to 174,988.69 and 255,921.19 is: 374,285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,988.69 : 255,921.19 = 255,921.19 : x
  2. Step 2: Convert to fraction form
    174,988.69/255,921.19 = 255,921.19/x
  3. Step 3: Cross multiply
    174,988.69x = 255,921.19 × 255,921.19
  4. Step 4: Simplify right side
    174,988.69x = 65,495,654,211.41
  5. Step 5: Solve for x
    x = 65,495,654,211.41/174,988.69
  6. Step 6: Final answer
    x = 374,285.08

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.