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Finding the Third Proportional to 235,573.88 and 375,214.50

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Solution

The third proportional to 235,573.88 and 375,214.50 is: 597,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,573.88 : 375,214.50 = 375,214.50 : x
  2. Step 2: Convert to fraction form
    235,573.88/375,214.50 = 375,214.50/x
  3. Step 3: Cross multiply
    235,573.88x = 375,214.50 × 375,214.50
  4. Step 4: Simplify right side
    235,573.88x = 140,785,921,010.25
  5. Step 5: Solve for x
    x = 140,785,921,010.25/235,573.88
  6. Step 6: Final answer
    x = 597,629.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.