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Finding the Third Proportional to 123,295.50 and 266,247

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Solution

The third proportional to 123,295.50 and 266,247 is: 574,939.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,295.50 : 266,247 = 266,247 : x
  2. Step 2: Convert to fraction form
    123,295.50/266,247 = 266,247/x
  3. Step 3: Cross multiply
    123,295.50x = 266,247 × 266,247
  4. Step 4: Simplify right side
    123,295.50x = 70,887,465,009
  5. Step 5: Solve for x
    x = 70,887,465,009/123,295.50
  6. Step 6: Final answer
    x = 574,939.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.