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Finding the Third Proportional to 156,541.50 and 335,218.50

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Solution

The third proportional to 156,541.50 and 335,218.50 is: 717,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,541.50 : 335,218.50 = 335,218.50 : x
  2. Step 2: Convert to fraction form
    156,541.50/335,218.50 = 335,218.50/x
  3. Step 3: Cross multiply
    156,541.50x = 335,218.50 × 335,218.50
  4. Step 4: Simplify right side
    156,541.50x = 112,371,442,742.25
  5. Step 5: Solve for x
    x = 112,371,442,742.25/156,541.50
  6. Step 6: Final answer
    x = 717,838.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.