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Finding the Third Proportional to 140,875.50 and 332,214

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Solution

The third proportional to 140,875.50 and 332,214 is: 783,430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,875.50 : 332,214 = 332,214 : x
  2. Step 2: Convert to fraction form
    140,875.50/332,214 = 332,214/x
  3. Step 3: Cross multiply
    140,875.50x = 332,214 × 332,214
  4. Step 4: Simplify right side
    140,875.50x = 110,366,141,796
  5. Step 5: Solve for x
    x = 110,366,141,796/140,875.50
  6. Step 6: Final answer
    x = 783,430.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.