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Finding the Third Proportional to 178,913 and 385,853

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Solution

The third proportional to 178,913 and 385,853 is: 832,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,913 : 385,853 = 385,853 : x
  2. Step 2: Convert to fraction form
    178,913/385,853 = 385,853/x
  3. Step 3: Cross multiply
    178,913x = 385,853 × 385,853
  4. Step 4: Simplify right side
    178,913x = 148,882,537,609
  5. Step 5: Solve for x
    x = 148,882,537,609/178,913
  6. Step 6: Final answer
    x = 832,150.47

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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.