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Finding the Third Proportional to 187,259.50 and 404,447

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Solution

The third proportional to 187,259.50 and 404,447 is: 873,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,259.50 : 404,447 = 404,447 : x
  2. Step 2: Convert to fraction form
    187,259.50/404,447 = 404,447/x
  3. Step 3: Cross multiply
    187,259.50x = 404,447 × 404,447
  4. Step 4: Simplify right side
    187,259.50x = 163,577,375,809
  5. Step 5: Solve for x
    x = 163,577,375,809/187,259.50
  6. Step 6: Final answer
    x = 873,533.12

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