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Finding the Third Proportional to 183,921 and 247,159.50

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Solution

The third proportional to 183,921 and 247,159.50 is: 332,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,921 : 247,159.50 = 247,159.50 : x
  2. Step 2: Convert to fraction form
    183,921/247,159.50 = 247,159.50/x
  3. Step 3: Cross multiply
    183,921x = 247,159.50 × 247,159.50
  4. Step 4: Simplify right side
    183,921x = 61,087,818,440.25
  5. Step 5: Solve for x
    x = 61,087,818,440.25/183,921
  6. Step 6: Final answer
    x = 332,141.62

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.