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Finding the Third Proportional to 153,883.13 and 236,383.31

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Solution

The third proportional to 153,883.13 and 236,383.31 is: 363,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,883.13 : 236,383.31 = 236,383.31 : x
  2. Step 2: Convert to fraction form
    153,883.13/236,383.31 = 236,383.31/x
  3. Step 3: Cross multiply
    153,883.13x = 236,383.31 × 236,383.31
  4. Step 4: Simplify right side
    153,883.13x = 55,877,070,428.47
  5. Step 5: Solve for x
    x = 55,877,070,428.47/153,883.13
  6. Step 6: Final answer
    x = 363,113.70

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