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Finding the Third Proportional to 143,623.50 and 227,316

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Solution

The third proportional to 143,623.50 and 227,316 is: 359,777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,623.50 : 227,316 = 227,316 : x
  2. Step 2: Convert to fraction form
    143,623.50/227,316 = 227,316/x
  3. Step 3: Cross multiply
    143,623.50x = 227,316 × 227,316
  4. Step 4: Simplify right side
    143,623.50x = 51,672,563,856
  5. Step 5: Solve for x
    x = 51,672,563,856/143,623.50
  6. Step 6: Final answer
    x = 359,777.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.