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Finding the Third Proportional to 224,525.75 and 266,043.88

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Solution

The third proportional to 224,525.75 and 266,043.88 is: 315,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,525.75 : 266,043.88 = 266,043.88 : x
  2. Step 2: Convert to fraction form
    224,525.75/266,043.88 = 266,043.88/x
  3. Step 3: Cross multiply
    224,525.75x = 266,043.88 × 266,043.88
  4. Step 4: Simplify right side
    224,525.75x = 70,779,343,425.02
  5. Step 5: Solve for x
    x = 70,779,343,425.02/224,525.75
  6. Step 6: Final answer
    x = 315,239.31

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.