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Finding the Third Proportional to 250,006.50 and 357,250.50

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Solution

The third proportional to 250,006.50 and 357,250.50 is: 510,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,006.50 : 357,250.50 = 357,250.50 : x
  2. Step 2: Convert to fraction form
    250,006.50/357,250.50 = 357,250.50/x
  3. Step 3: Cross multiply
    250,006.50x = 357,250.50 × 357,250.50
  4. Step 4: Simplify right side
    250,006.50x = 127,627,919,750.25
  5. Step 5: Solve for x
    x = 127,627,919,750.25/250,006.50
  6. Step 6: Final answer
    x = 510,498.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.