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Finding the Third Proportional to 174,975.19 and 256,266.28

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Solution

The third proportional to 174,975.19 and 256,266.28 is: 375,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,975.19 : 256,266.28 = 256,266.28 : x
  2. Step 2: Convert to fraction form
    174,975.19/256,266.28 = 256,266.28/x
  3. Step 3: Cross multiply
    174,975.19x = 256,266.28 × 256,266.28
  4. Step 4: Simplify right side
    174,975.19x = 65,672,406,905.70
  5. Step 5: Solve for x
    x = 65,672,406,905.70/174,975.19
  6. Step 6: Final answer
    x = 375,324.11

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Why These Related Problems?

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