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Finding the Third Proportional to 136,383 and 183,457

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Solution

The third proportional to 136,383 and 183,457 is: 246,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,383 : 183,457 = 183,457 : x
  2. Step 2: Convert to fraction form
    136,383/183,457 = 183,457/x
  3. Step 3: Cross multiply
    136,383x = 183,457 × 183,457
  4. Step 4: Simplify right side
    136,383x = 33,656,470,849
  5. Step 5: Solve for x
    x = 33,656,470,849/136,383
  6. Step 6: Final answer
    x = 246,779.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.