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Finding the Third Proportional to 176,521.78 and 385,846.03

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Solution

The third proportional to 176,521.78 and 385,846.03 is: 843,392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,521.78 : 385,846.03 = 385,846.03 : x
  2. Step 2: Convert to fraction form
    176,521.78/385,846.03 = 385,846.03/x
  3. Step 3: Cross multiply
    176,521.78x = 385,846.03 × 385,846.03
  4. Step 4: Simplify right side
    176,521.78x = 148,877,159,831.38
  5. Step 5: Solve for x
    x = 148,877,159,831.38/176,521.78
  6. Step 6: Final answer
    x = 843,392.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.