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Finding the Third Proportional to 226,095.75 and 359,899.88

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Solution

The third proportional to 226,095.75 and 359,899.88 is: 572,889.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,095.75 : 359,899.88 = 359,899.88 : x
  2. Step 2: Convert to fraction form
    226,095.75/359,899.88 = 359,899.88/x
  3. Step 3: Cross multiply
    226,095.75x = 359,899.88 × 359,899.88
  4. Step 4: Simplify right side
    226,095.75x = 129,527,920,025.02
  5. Step 5: Solve for x
    x = 129,527,920,025.02/226,095.75
  6. Step 6: Final answer
    x = 572,889.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.