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Finding the Third Proportional to 175,375 and 273,329

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Solution

The third proportional to 175,375 and 273,329 is: 425,994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,375 : 273,329 = 273,329 : x
  2. Step 2: Convert to fraction form
    175,375/273,329 = 273,329/x
  3. Step 3: Cross multiply
    175,375x = 273,329 × 273,329
  4. Step 4: Simplify right side
    175,375x = 74,708,742,241
  5. Step 5: Solve for x
    x = 74,708,742,241/175,375
  6. Step 6: Final answer
    x = 425,994.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.