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Finding the Third Proportional to 141,645 and 207,364.50

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Solution

The third proportional to 141,645 and 207,364.50 is: 303,576.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,645 : 207,364.50 = 207,364.50 : x
  2. Step 2: Convert to fraction form
    141,645/207,364.50 = 207,364.50/x
  3. Step 3: Cross multiply
    141,645x = 207,364.50 × 207,364.50
  4. Step 4: Simplify right side
    141,645x = 43,000,035,860.25
  5. Step 5: Solve for x
    x = 43,000,035,860.25/141,645
  6. Step 6: Final answer
    x = 303,576.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.