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Finding the Third Proportional to 175,085 and 256,416

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Solution

The third proportional to 175,085 and 256,416 is: 375,527.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,085 : 256,416 = 256,416 : x
  2. Step 2: Convert to fraction form
    175,085/256,416 = 256,416/x
  3. Step 3: Cross multiply
    175,085x = 256,416 × 256,416
  4. Step 4: Simplify right side
    175,085x = 65,749,165,056
  5. Step 5: Solve for x
    x = 65,749,165,056/175,085
  6. Step 6: Final answer
    x = 375,527.12

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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.