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Finding the Third Proportional to 173,495 and 252,858

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Solution

The third proportional to 173,495 and 252,858 is: 368,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,495 : 252,858 = 252,858 : x
  2. Step 2: Convert to fraction form
    173,495/252,858 = 252,858/x
  3. Step 3: Cross multiply
    173,495x = 252,858 × 252,858
  4. Step 4: Simplify right side
    173,495x = 63,937,168,164
  5. Step 5: Solve for x
    x = 63,937,168,164/173,495
  6. Step 6: Final answer
    x = 368,524.56

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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.