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Finding the Third Proportional to 119,488.50 and 183,411

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Solution

The third proportional to 119,488.50 and 183,411 is: 281,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,488.50 : 183,411 = 183,411 : x
  2. Step 2: Convert to fraction form
    119,488.50/183,411 = 183,411/x
  3. Step 3: Cross multiply
    119,488.50x = 183,411 × 183,411
  4. Step 4: Simplify right side
    119,488.50x = 33,639,594,921
  5. Step 5: Solve for x
    x = 33,639,594,921/119,488.50
  6. Step 6: Final answer
    x = 281,529.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.