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Finding the Third Proportional to 175,224 and 274,513

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Solution

The third proportional to 175,224 and 274,513 is: 430,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,224 : 274,513 = 274,513 : x
  2. Step 2: Convert to fraction form
    175,224/274,513 = 274,513/x
  3. Step 3: Cross multiply
    175,224x = 274,513 × 274,513
  4. Step 4: Simplify right side
    175,224x = 75,357,387,169
  5. Step 5: Solve for x
    x = 75,357,387,169/175,224
  6. Step 6: Final answer
    x = 430,063.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.