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Finding the Third Proportional to 187,303.50 and 401,404.50

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Solution

The third proportional to 187,303.50 and 401,404.50 is: 860,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,303.50 : 401,404.50 = 401,404.50 : x
  2. Step 2: Convert to fraction form
    187,303.50/401,404.50 = 401,404.50/x
  3. Step 3: Cross multiply
    187,303.50x = 401,404.50 × 401,404.50
  4. Step 4: Simplify right side
    187,303.50x = 161,125,572,620.25
  5. Step 5: Solve for x
    x = 161,125,572,620.25/187,303.50
  6. Step 6: Final answer
    x = 860,237.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.