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Finding the Third Proportional to 176,188 and 251,160

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Solution

The third proportional to 176,188 and 251,160 is: 358,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,188 : 251,160 = 251,160 : x
  2. Step 2: Convert to fraction form
    176,188/251,160 = 251,160/x
  3. Step 3: Cross multiply
    176,188x = 251,160 × 251,160
  4. Step 4: Simplify right side
    176,188x = 63,081,345,600
  5. Step 5: Solve for x
    x = 63,081,345,600/176,188
  6. Step 6: Final answer
    x = 358,034.29

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.