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Finding the Third Proportional to 174,432 and 255,416

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Solution

The third proportional to 174,432 and 255,416 is: 373,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,432 : 255,416 = 255,416 : x
  2. Step 2: Convert to fraction form
    174,432/255,416 = 255,416/x
  3. Step 3: Cross multiply
    174,432x = 255,416 × 255,416
  4. Step 4: Simplify right side
    174,432x = 65,237,333,056
  5. Step 5: Solve for x
    x = 65,237,333,056/174,432
  6. Step 6: Final answer
    x = 373,998.65

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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.