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Finding the Third Proportional to 180,370.50 and 285,596.50

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Solution

The third proportional to 180,370.50 and 285,596.50 is: 452,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,370.50 : 285,596.50 = 285,596.50 : x
  2. Step 2: Convert to fraction form
    180,370.50/285,596.50 = 285,596.50/x
  3. Step 3: Cross multiply
    180,370.50x = 285,596.50 × 285,596.50
  4. Step 4: Simplify right side
    180,370.50x = 81,565,360,812.25
  5. Step 5: Solve for x
    x = 81,565,360,812.25/180,370.50
  6. Step 6: Final answer
    x = 452,210.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.