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Finding the Third Proportional to 181,774.13 and 392,586.75

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Solution

The third proportional to 181,774.13 and 392,586.75 is: 847,889.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,774.13 : 392,586.75 = 392,586.75 : x
  2. Step 2: Convert to fraction form
    181,774.13/392,586.75 = 392,586.75/x
  3. Step 3: Cross multiply
    181,774.13x = 392,586.75 × 392,586.75
  4. Step 4: Simplify right side
    181,774.13x = 154,124,356,275.56
  5. Step 5: Solve for x
    x = 154,124,356,275.56/181,774.13
  6. Step 6: Final answer
    x = 847,889.41

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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.