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Finding the Third Proportional to 141,513 and 209,029.50

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Solution

The third proportional to 141,513 and 209,029.50 is: 308,758.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,513 : 209,029.50 = 209,029.50 : x
  2. Step 2: Convert to fraction form
    141,513/209,029.50 = 209,029.50/x
  3. Step 3: Cross multiply
    141,513x = 209,029.50 × 209,029.50
  4. Step 4: Simplify right side
    141,513x = 43,693,331,870.25
  5. Step 5: Solve for x
    x = 43,693,331,870.25/141,513
  6. Step 6: Final answer
    x = 308,758.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.