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Finding the Third Proportional to 174,150 and 233,442

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Solution

The third proportional to 174,150 and 233,442 is: 312,920.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,150 : 233,442 = 233,442 : x
  2. Step 2: Convert to fraction form
    174,150/233,442 = 233,442/x
  3. Step 3: Cross multiply
    174,150x = 233,442 × 233,442
  4. Step 4: Simplify right side
    174,150x = 54,495,167,364
  5. Step 5: Solve for x
    x = 54,495,167,364/174,150
  6. Step 6: Final answer
    x = 312,920.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.