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Finding the Third Proportional to 176,128 and 235,938

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Solution

The third proportional to 176,128 and 235,938 is: 316,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,128 : 235,938 = 235,938 : x
  2. Step 2: Convert to fraction form
    176,128/235,938 = 235,938/x
  3. Step 3: Cross multiply
    176,128x = 235,938 × 235,938
  4. Step 4: Simplify right side
    176,128x = 55,666,739,844
  5. Step 5: Solve for x
    x = 55,666,739,844/176,128
  6. Step 6: Final answer
    x = 316,058.43

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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.