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Finding the Third Proportional to 133,051 and 206,583.50

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Solution

The third proportional to 133,051 and 206,583.50 is: 320,754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,051 : 206,583.50 = 206,583.50 : x
  2. Step 2: Convert to fraction form
    133,051/206,583.50 = 206,583.50/x
  3. Step 3: Cross multiply
    133,051x = 206,583.50 × 206,583.50
  4. Step 4: Simplify right side
    133,051x = 42,676,742,472.25
  5. Step 5: Solve for x
    x = 42,676,742,472.25/133,051
  6. Step 6: Final answer
    x = 320,754.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.