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Finding the Third Proportional to 145,527.34 and 227,142.59

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Solution

The third proportional to 145,527.34 and 227,142.59 is: 354,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,527.34 : 227,142.59 = 227,142.59 : x
  2. Step 2: Convert to fraction form
    145,527.34/227,142.59 = 227,142.59/x
  3. Step 3: Cross multiply
    145,527.34x = 227,142.59 × 227,142.59
  4. Step 4: Simplify right side
    145,527.34x = 51,593,755,677.29
  5. Step 5: Solve for x
    x = 51,593,755,677.29/145,527.34
  6. Step 6: Final answer
    x = 354,529.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.