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Finding the Third Proportional to 76,352 and 167,410

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Solution

The third proportional to 76,352 and 167,410 is: 367,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,352 : 167,410 = 167,410 : x
  2. Step 2: Convert to fraction form
    76,352/167,410 = 167,410/x
  3. Step 3: Cross multiply
    76,352x = 167,410 × 167,410
  4. Step 4: Simplify right side
    76,352x = 28,026,108,100
  5. Step 5: Solve for x
    x = 28,026,108,100/76,352
  6. Step 6: Final answer
    x = 367,064.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.