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Finding the Third Proportional to 176,870.25 and 250,030.50

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Solution

The third proportional to 176,870.25 and 250,030.50 is: 353,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,870.25 : 250,030.50 = 250,030.50 : x
  2. Step 2: Convert to fraction form
    176,870.25/250,030.50 = 250,030.50/x
  3. Step 3: Cross multiply
    176,870.25x = 250,030.50 × 250,030.50
  4. Step 4: Simplify right side
    176,870.25x = 62,515,250,930.25
  5. Step 5: Solve for x
    x = 62,515,250,930.25/176,870.25
  6. Step 6: Final answer
    x = 353,452.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.