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Finding the Third Proportional to 174,855 and 256,543.50

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Solution

The third proportional to 174,855 and 256,543.50 is: 376,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,855 : 256,543.50 = 256,543.50 : x
  2. Step 2: Convert to fraction form
    174,855/256,543.50 = 256,543.50/x
  3. Step 3: Cross multiply
    174,855x = 256,543.50 × 256,543.50
  4. Step 4: Simplify right side
    174,855x = 65,814,567,392.25
  5. Step 5: Solve for x
    x = 65,814,567,392.25/174,855
  6. Step 6: Final answer
    x = 376,395.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.