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Finding the Third Proportional to 176,140 and 235,956

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Solution

The third proportional to 176,140 and 235,956 is: 316,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,140 : 235,956 = 235,956 : x
  2. Step 2: Convert to fraction form
    176,140/235,956 = 235,956/x
  3. Step 3: Cross multiply
    176,140x = 235,956 × 235,956
  4. Step 4: Simplify right side
    176,140x = 55,675,233,936
  5. Step 5: Solve for x
    x = 55,675,233,936/176,140
  6. Step 6: Final answer
    x = 316,085.13

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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.