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Finding the Third Proportional to 100,923.50 and 237,905

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Solution

The third proportional to 100,923.50 and 237,905 is: 560,808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,923.50 : 237,905 = 237,905 : x
  2. Step 2: Convert to fraction form
    100,923.50/237,905 = 237,905/x
  3. Step 3: Cross multiply
    100,923.50x = 237,905 × 237,905
  4. Step 4: Simplify right side
    100,923.50x = 56,598,789,025
  5. Step 5: Solve for x
    x = 56,598,789,025/100,923.50
  6. Step 6: Final answer
    x = 560,808.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.