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Finding the Third Proportional to 181,276 and 391,664

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Solution

The third proportional to 181,276 and 391,664 is: 846,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,276 : 391,664 = 391,664 : x
  2. Step 2: Convert to fraction form
    181,276/391,664 = 391,664/x
  3. Step 3: Cross multiply
    181,276x = 391,664 × 391,664
  4. Step 4: Simplify right side
    181,276x = 153,400,688,896
  5. Step 5: Solve for x
    x = 153,400,688,896/181,276
  6. Step 6: Final answer
    x = 846,227.24

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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.