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Finding the Third Proportional to 132,376.50 and 210,367.50

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Solution

The third proportional to 132,376.50 and 210,367.50 is: 334,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,376.50 : 210,367.50 = 210,367.50 : x
  2. Step 2: Convert to fraction form
    132,376.50/210,367.50 = 210,367.50/x
  3. Step 3: Cross multiply
    132,376.50x = 210,367.50 × 210,367.50
  4. Step 4: Simplify right side
    132,376.50x = 44,254,485,056.25
  5. Step 5: Solve for x
    x = 44,254,485,056.25/132,376.50
  6. Step 6: Final answer
    x = 334,307.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.