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Finding the Third Proportional to 174,988.69 and 256,743

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Solution

The third proportional to 174,988.69 and 256,743 is: 376,692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,988.69 : 256,743 = 256,743 : x
  2. Step 2: Convert to fraction form
    174,988.69/256,743 = 256,743/x
  3. Step 3: Cross multiply
    174,988.69x = 256,743 × 256,743
  4. Step 4: Simplify right side
    174,988.69x = 65,916,968,049
  5. Step 5: Solve for x
    x = 65,916,968,049/174,988.69
  6. Step 6: Final answer
    x = 376,692.74

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Why These Related Problems?

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