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Finding the Third Proportional to 180,807.75 and 390,775.50

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Solution

The third proportional to 180,807.75 and 390,775.50 is: 844,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,807.75 : 390,775.50 = 390,775.50 : x
  2. Step 2: Convert to fraction form
    180,807.75/390,775.50 = 390,775.50/x
  3. Step 3: Cross multiply
    180,807.75x = 390,775.50 × 390,775.50
  4. Step 4: Simplify right side
    180,807.75x = 152,705,491,400.25
  5. Step 5: Solve for x
    x = 152,705,491,400.25/180,807.75
  6. Step 6: Final answer
    x = 844,573.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.