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Finding the Third Proportional to 189,733.50 and 288,484.50

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Solution

The third proportional to 189,733.50 and 288,484.50 is: 438,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,733.50 : 288,484.50 = 288,484.50 : x
  2. Step 2: Convert to fraction form
    189,733.50/288,484.50 = 288,484.50/x
  3. Step 3: Cross multiply
    189,733.50x = 288,484.50 × 288,484.50
  4. Step 4: Simplify right side
    189,733.50x = 83,223,306,740.25
  5. Step 5: Solve for x
    x = 83,223,306,740.25/189,733.50
  6. Step 6: Final answer
    x = 438,632.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.