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Finding the Third Proportional to 176,134.50 and 235,949.63

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Solution

The third proportional to 176,134.50 and 235,949.63 is: 316,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,134.50 : 235,949.63 = 235,949.63 : x
  2. Step 2: Convert to fraction form
    176,134.50/235,949.63 = 235,949.63/x
  3. Step 3: Cross multiply
    176,134.50x = 235,949.63 × 235,949.63
  4. Step 4: Simplify right side
    176,134.50x = 55,672,225,537.64
  5. Step 5: Solve for x
    x = 55,672,225,537.64/176,134.50
  6. Step 6: Final answer
    x = 316,077.92

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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.