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Finding the Third Proportional to 103,984.50 and 155,283

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Solution

The third proportional to 103,984.50 and 155,283 is: 231,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,984.50 : 155,283 = 155,283 : x
  2. Step 2: Convert to fraction form
    103,984.50/155,283 = 155,283/x
  3. Step 3: Cross multiply
    103,984.50x = 155,283 × 155,283
  4. Step 4: Simplify right side
    103,984.50x = 24,112,810,089
  5. Step 5: Solve for x
    x = 24,112,810,089/103,984.50
  6. Step 6: Final answer
    x = 231,888.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.