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Finding the Third Proportional to 175,820 and 279,534

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Solution

The third proportional to 175,820 and 279,534 is: 444,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,820 : 279,534 = 279,534 : x
  2. Step 2: Convert to fraction form
    175,820/279,534 = 279,534/x
  3. Step 3: Cross multiply
    175,820x = 279,534 × 279,534
  4. Step 4: Simplify right side
    175,820x = 78,139,257,156
  5. Step 5: Solve for x
    x = 78,139,257,156/175,820
  6. Step 6: Final answer
    x = 444,427.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.