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Finding the Third Proportional to 153,819.84 and 236,116.27

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Solution

The third proportional to 153,819.84 and 236,116.27 is: 362,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,819.84 : 236,116.27 = 236,116.27 : x
  2. Step 2: Convert to fraction form
    153,819.84/236,116.27 = 236,116.27/x
  3. Step 3: Cross multiply
    153,819.84x = 236,116.27 × 236,116.27
  4. Step 4: Simplify right side
    153,819.84x = 55,750,890,892.70
  5. Step 5: Solve for x
    x = 55,750,890,892.70/153,819.84
  6. Step 6: Final answer
    x = 362,442.77

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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.