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Finding the Third Proportional to 141,602 and 213,495

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Solution

The third proportional to 141,602 and 213,495 is: 321,888.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,602 : 213,495 = 213,495 : x
  2. Step 2: Convert to fraction form
    141,602/213,495 = 213,495/x
  3. Step 3: Cross multiply
    141,602x = 213,495 × 213,495
  4. Step 4: Simplify right side
    141,602x = 45,580,115,025
  5. Step 5: Solve for x
    x = 45,580,115,025/141,602
  6. Step 6: Final answer
    x = 321,888.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.