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Finding the Third Proportional to 235,422 and 352,207.50

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Solution

The third proportional to 235,422 and 352,207.50 is: 526,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,422 : 352,207.50 = 352,207.50 : x
  2. Step 2: Convert to fraction form
    235,422/352,207.50 = 352,207.50/x
  3. Step 3: Cross multiply
    235,422x = 352,207.50 × 352,207.50
  4. Step 4: Simplify right side
    235,422x = 124,050,123,056.25
  5. Step 5: Solve for x
    x = 124,050,123,056.25/235,422
  6. Step 6: Final answer
    x = 526,926.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.