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Finding the Third Proportional to 251,517 and 380,527.50

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Solution

The third proportional to 251,517 and 380,527.50 is: 575,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,517 : 380,527.50 = 380,527.50 : x
  2. Step 2: Convert to fraction form
    251,517/380,527.50 = 380,527.50/x
  3. Step 3: Cross multiply
    251,517x = 380,527.50 × 380,527.50
  4. Step 4: Simplify right side
    251,517x = 144,801,178,256.25
  5. Step 5: Solve for x
    x = 144,801,178,256.25/251,517
  6. Step 6: Final answer
    x = 575,711.30

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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.