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Finding the Third Proportional to 134,713 and 224,513

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Solution

The third proportional to 134,713 and 224,513 is: 374,173.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,713 : 224,513 = 224,513 : x
  2. Step 2: Convert to fraction form
    134,713/224,513 = 224,513/x
  3. Step 3: Cross multiply
    134,713x = 224,513 × 224,513
  4. Step 4: Simplify right side
    134,713x = 50,406,087,169
  5. Step 5: Solve for x
    x = 50,406,087,169/134,713
  6. Step 6: Final answer
    x = 374,173.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.