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Finding the Third Proportional to 188,465.50 and 291,447

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Solution

The third proportional to 188,465.50 and 291,447 is: 450,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,465.50 : 291,447 = 291,447 : x
  2. Step 2: Convert to fraction form
    188,465.50/291,447 = 291,447/x
  3. Step 3: Cross multiply
    188,465.50x = 291,447 × 291,447
  4. Step 4: Simplify right side
    188,465.50x = 84,941,353,809
  5. Step 5: Solve for x
    x = 84,941,353,809/188,465.50
  6. Step 6: Final answer
    x = 450,699.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.