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Finding the Third Proportional to 198,664.50 and 430,332

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Solution

The third proportional to 198,664.50 and 430,332 is: 932,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,664.50 : 430,332 = 430,332 : x
  2. Step 2: Convert to fraction form
    198,664.50/430,332 = 430,332/x
  3. Step 3: Cross multiply
    198,664.50x = 430,332 × 430,332
  4. Step 4: Simplify right side
    198,664.50x = 185,185,630,224
  5. Step 5: Solve for x
    x = 185,185,630,224/198,664.50
  6. Step 6: Final answer
    x = 932,152.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.