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Finding the Third Proportional to 155,930 and 237,174

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Solution

The third proportional to 155,930 and 237,174 is: 360,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,930 : 237,174 = 237,174 : x
  2. Step 2: Convert to fraction form
    155,930/237,174 = 237,174/x
  3. Step 3: Cross multiply
    155,930x = 237,174 × 237,174
  4. Step 4: Simplify right side
    155,930x = 56,251,506,276
  5. Step 5: Solve for x
    x = 56,251,506,276/155,930
  6. Step 6: Final answer
    x = 360,748.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.