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Finding the Third Proportional to 141,748 and 213,263

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Solution

The third proportional to 141,748 and 213,263 is: 320,858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,748 : 213,263 = 213,263 : x
  2. Step 2: Convert to fraction form
    141,748/213,263 = 213,263/x
  3. Step 3: Cross multiply
    141,748x = 213,263 × 213,263
  4. Step 4: Simplify right side
    141,748x = 45,481,107,169
  5. Step 5: Solve for x
    x = 45,481,107,169/141,748
  6. Step 6: Final answer
    x = 320,858.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.