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Finding the Third Proportional to 176,368.50 and 251,322.75

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Solution

The third proportional to 176,368.50 and 251,322.75 is: 358,131.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,368.50 : 251,322.75 = 251,322.75 : x
  2. Step 2: Convert to fraction form
    176,368.50/251,322.75 = 251,322.75/x
  3. Step 3: Cross multiply
    176,368.50x = 251,322.75 × 251,322.75
  4. Step 4: Simplify right side
    176,368.50x = 63,163,124,667.56
  5. Step 5: Solve for x
    x = 63,163,124,667.56/176,368.50
  6. Step 6: Final answer
    x = 358,131.55

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.