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Finding the Third Proportional to 272,311.88 and 359,564.06

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Solution

The third proportional to 272,311.88 and 359,564.06 is: 474,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,311.88 : 359,564.06 = 359,564.06 : x
  2. Step 2: Convert to fraction form
    272,311.88/359,564.06 = 359,564.06/x
  3. Step 3: Cross multiply
    272,311.88x = 359,564.06 × 359,564.06
  4. Step 4: Simplify right side
    272,311.88x = 129,286,315,041.50
  5. Step 5: Solve for x
    x = 129,286,315,041.50/272,311.88
  6. Step 6: Final answer
    x = 474,772.96

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.