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Finding the Third Proportional to 153,913.50 and 231,316.50

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Solution

The third proportional to 153,913.50 and 231,316.50 is: 347,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,913.50 : 231,316.50 = 231,316.50 : x
  2. Step 2: Convert to fraction form
    153,913.50/231,316.50 = 231,316.50/x
  3. Step 3: Cross multiply
    153,913.50x = 231,316.50 × 231,316.50
  4. Step 4: Simplify right side
    153,913.50x = 53,507,323,172.25
  5. Step 5: Solve for x
    x = 53,507,323,172.25/153,913.50
  6. Step 6: Final answer
    x = 347,645.42

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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.