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Finding the Third Proportional to 185,232 and 399,264

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Solution

The third proportional to 185,232 and 399,264 is: 860,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,232 : 399,264 = 399,264 : x
  2. Step 2: Convert to fraction form
    185,232/399,264 = 399,264/x
  3. Step 3: Cross multiply
    185,232x = 399,264 × 399,264
  4. Step 4: Simplify right side
    185,232x = 159,411,741,696
  5. Step 5: Solve for x
    x = 159,411,741,696/185,232
  6. Step 6: Final answer
    x = 860,605.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.