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Finding the Third Proportional to 176,124.38 and 235,947.94

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Solution

The third proportional to 176,124.38 and 235,947.94 is: 316,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,124.38 : 235,947.94 = 235,947.94 : x
  2. Step 2: Convert to fraction form
    176,124.38/235,947.94 = 235,947.94/x
  3. Step 3: Cross multiply
    176,124.38x = 235,947.94 × 235,947.94
  4. Step 4: Simplify right side
    176,124.38x = 55,671,429,210.50
  5. Step 5: Solve for x
    x = 55,671,429,210.50/176,124.38
  6. Step 6: Final answer
    x = 316,091.56

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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.