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Finding the Third Proportional to 156,340.13 and 317,525.06

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Solution

The third proportional to 156,340.13 and 317,525.06 is: 644,889.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,340.13 : 317,525.06 = 317,525.06 : x
  2. Step 2: Convert to fraction form
    156,340.13/317,525.06 = 317,525.06/x
  3. Step 3: Cross multiply
    156,340.13x = 317,525.06 × 317,525.06
  4. Step 4: Simplify right side
    156,340.13x = 100,822,165,315.63
  5. Step 5: Solve for x
    x = 100,822,165,315.63/156,340.13
  6. Step 6: Final answer
    x = 644,889.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.