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Finding the Third Proportional to 237,193.50 and 369,398.25

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Solution

The third proportional to 237,193.50 and 369,398.25 is: 575,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,193.50 : 369,398.25 = 369,398.25 : x
  2. Step 2: Convert to fraction form
    237,193.50/369,398.25 = 369,398.25/x
  3. Step 3: Cross multiply
    237,193.50x = 369,398.25 × 369,398.25
  4. Step 4: Simplify right side
    237,193.50x = 136,455,067,103.06
  5. Step 5: Solve for x
    x = 136,455,067,103.06/237,193.50
  6. Step 6: Final answer
    x = 575,290.08

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.