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Finding the Third Proportional to 177,316 and 384,774

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Solution

The third proportional to 177,316 and 384,774 is: 834,955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,316 : 384,774 = 384,774 : x
  2. Step 2: Convert to fraction form
    177,316/384,774 = 384,774/x
  3. Step 3: Cross multiply
    177,316x = 384,774 × 384,774
  4. Step 4: Simplify right side
    177,316x = 148,051,031,076
  5. Step 5: Solve for x
    x = 148,051,031,076/177,316
  6. Step 6: Final answer
    x = 834,955.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.