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Finding the Third Proportional to 153,827 and 236,128

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Solution

The third proportional to 153,827 and 236,128 is: 362,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,827 : 236,128 = 236,128 : x
  2. Step 2: Convert to fraction form
    153,827/236,128 = 236,128/x
  3. Step 3: Cross multiply
    153,827x = 236,128 × 236,128
  4. Step 4: Simplify right side
    153,827x = 55,756,432,384
  5. Step 5: Solve for x
    x = 55,756,432,384/153,827
  6. Step 6: Final answer
    x = 362,461.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.