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Finding the Third Proportional to 140,730.75 and 210,394.13

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Solution

The third proportional to 140,730.75 and 210,394.13 is: 314,541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,730.75 : 210,394.13 = 210,394.13 : x
  2. Step 2: Convert to fraction form
    140,730.75/210,394.13 = 210,394.13/x
  3. Step 3: Cross multiply
    140,730.75x = 210,394.13 × 210,394.13
  4. Step 4: Simplify right side
    140,730.75x = 44,265,687,834.52
  5. Step 5: Solve for x
    x = 44,265,687,834.52/140,730.75
  6. Step 6: Final answer
    x = 314,541.69

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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.