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Finding the Third Proportional to 166,315.50 and 357,536.25

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Solution

The third proportional to 166,315.50 and 357,536.25 is: 768,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,315.50 : 357,536.25 = 357,536.25 : x
  2. Step 2: Convert to fraction form
    166,315.50/357,536.25 = 357,536.25/x
  3. Step 3: Cross multiply
    166,315.50x = 357,536.25 × 357,536.25
  4. Step 4: Simplify right side
    166,315.50x = 127,832,170,064.06
  5. Step 5: Solve for x
    x = 127,832,170,064.06/166,315.50
  6. Step 6: Final answer
    x = 768,612.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.