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Finding the Third Proportional to 135,799.50 and 295,887

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Solution

The third proportional to 135,799.50 and 295,887 is: 644,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,799.50 : 295,887 = 295,887 : x
  2. Step 2: Convert to fraction form
    135,799.50/295,887 = 295,887/x
  3. Step 3: Cross multiply
    135,799.50x = 295,887 × 295,887
  4. Step 4: Simplify right side
    135,799.50x = 87,549,116,769
  5. Step 5: Solve for x
    x = 87,549,116,769/135,799.50
  6. Step 6: Final answer
    x = 644,693.96

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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.