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Finding the Third Proportional to 178,038 and 237,830

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Solution

The third proportional to 178,038 and 237,830 is: 317,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,038 : 237,830 = 237,830 : x
  2. Step 2: Convert to fraction form
    178,038/237,830 = 237,830/x
  3. Step 3: Cross multiply
    178,038x = 237,830 × 237,830
  4. Step 4: Simplify right side
    178,038x = 56,563,108,900
  5. Step 5: Solve for x
    x = 56,563,108,900/178,038
  6. Step 6: Final answer
    x = 317,702.45

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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.