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Finding the Third Proportional to 246,742.88 and 371,938.50

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Solution

The third proportional to 246,742.88 and 371,938.50 is: 560,657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,742.88 : 371,938.50 = 371,938.50 : x
  2. Step 2: Convert to fraction form
    246,742.88/371,938.50 = 371,938.50/x
  3. Step 3: Cross multiply
    246,742.88x = 371,938.50 × 371,938.50
  4. Step 4: Simplify right side
    246,742.88x = 138,338,247,782.25
  5. Step 5: Solve for x
    x = 138,338,247,782.25/246,742.88
  6. Step 6: Final answer
    x = 560,657.52

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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.