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Finding the Third Proportional to 132,753 and 210,310.50

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Solution

The third proportional to 132,753 and 210,310.50 is: 333,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,753 : 210,310.50 = 210,310.50 : x
  2. Step 2: Convert to fraction form
    132,753/210,310.50 = 210,310.50/x
  3. Step 3: Cross multiply
    132,753x = 210,310.50 × 210,310.50
  4. Step 4: Simplify right side
    132,753x = 44,230,506,410.25
  5. Step 5: Solve for x
    x = 44,230,506,410.25/132,753
  6. Step 6: Final answer
    x = 333,178.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.