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Finding the Third Proportional to 231,102 and 348,295.50

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Solution

The third proportional to 231,102 and 348,295.50 is: 524,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,102 : 348,295.50 = 348,295.50 : x
  2. Step 2: Convert to fraction form
    231,102/348,295.50 = 348,295.50/x
  3. Step 3: Cross multiply
    231,102x = 348,295.50 × 348,295.50
  4. Step 4: Simplify right side
    231,102x = 121,309,755,320.25
  5. Step 5: Solve for x
    x = 121,309,755,320.25/231,102
  6. Step 6: Final answer
    x = 524,918.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.