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Finding the Third Proportional to 118,210.50 and 253,026

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Solution

The third proportional to 118,210.50 and 253,026 is: 541,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,210.50 : 253,026 = 253,026 : x
  2. Step 2: Convert to fraction form
    118,210.50/253,026 = 253,026/x
  3. Step 3: Cross multiply
    118,210.50x = 253,026 × 253,026
  4. Step 4: Simplify right side
    118,210.50x = 64,022,156,676
  5. Step 5: Solve for x
    x = 64,022,156,676/118,210.50
  6. Step 6: Final answer
    x = 541,594.50

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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.