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Finding the Third Proportional to 172,937 and 376,174

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Solution

The third proportional to 172,937 and 376,174 is: 818,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,937 : 376,174 = 376,174 : x
  2. Step 2: Convert to fraction form
    172,937/376,174 = 376,174/x
  3. Step 3: Cross multiply
    172,937x = 376,174 × 376,174
  4. Step 4: Simplify right side
    172,937x = 141,506,878,276
  5. Step 5: Solve for x
    x = 141,506,878,276/172,937
  6. Step 6: Final answer
    x = 818,256.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.