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Finding the Third Proportional to 193,301 and 289,051.50

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Solution

The third proportional to 193,301 and 289,051.50 is: 432,231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,301 : 289,051.50 = 289,051.50 : x
  2. Step 2: Convert to fraction form
    193,301/289,051.50 = 289,051.50/x
  3. Step 3: Cross multiply
    193,301x = 289,051.50 × 289,051.50
  4. Step 4: Simplify right side
    193,301x = 83,550,769,652.25
  5. Step 5: Solve for x
    x = 83,550,769,652.25/193,301
  6. Step 6: Final answer
    x = 432,231.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.