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Finding the Third Proportional to 153,454.50 and 236,742.75

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Solution

The third proportional to 153,454.50 and 236,742.75 is: 365,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,454.50 : 236,742.75 = 236,742.75 : x
  2. Step 2: Convert to fraction form
    153,454.50/236,742.75 = 236,742.75/x
  3. Step 3: Cross multiply
    153,454.50x = 236,742.75 × 236,742.75
  4. Step 4: Simplify right side
    153,454.50x = 56,047,129,677.56
  5. Step 5: Solve for x
    x = 56,047,129,677.56/153,454.50
  6. Step 6: Final answer
    x = 365,236.14

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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.