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Finding the Third Proportional to 185,335 and 403,933

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Solution

The third proportional to 185,335 and 403,933 is: 880,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,335 : 403,933 = 403,933 : x
  2. Step 2: Convert to fraction form
    185,335/403,933 = 403,933/x
  3. Step 3: Cross multiply
    185,335x = 403,933 × 403,933
  4. Step 4: Simplify right side
    185,335x = 163,161,868,489
  5. Step 5: Solve for x
    x = 163,161,868,489/185,335
  6. Step 6: Final answer
    x = 880,361.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.