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Finding the Third Proportional to 178,032 and 237,810

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Solution

The third proportional to 178,032 and 237,810 is: 317,659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,032 : 237,810 = 237,810 : x
  2. Step 2: Convert to fraction form
    178,032/237,810 = 237,810/x
  3. Step 3: Cross multiply
    178,032x = 237,810 × 237,810
  4. Step 4: Simplify right side
    178,032x = 56,553,596,100
  5. Step 5: Solve for x
    x = 56,553,596,100/178,032
  6. Step 6: Final answer
    x = 317,659.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.