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Finding the Third Proportional to 73,204.88 and 159,835.50

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Solution

The third proportional to 73,204.88 and 159,835.50 is: 348,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,204.88 : 159,835.50 = 159,835.50 : x
  2. Step 2: Convert to fraction form
    73,204.88/159,835.50 = 159,835.50/x
  3. Step 3: Cross multiply
    73,204.88x = 159,835.50 × 159,835.50
  4. Step 4: Simplify right side
    73,204.88x = 25,547,387,060.25
  5. Step 5: Solve for x
    x = 25,547,387,060.25/73,204.88
  6. Step 6: Final answer
    x = 348,984.78

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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.