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Finding the Third Proportional to 183,360 and 291,761.50

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Solution

The third proportional to 183,360 and 291,761.50 is: 464,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,360 : 291,761.50 = 291,761.50 : x
  2. Step 2: Convert to fraction form
    183,360/291,761.50 = 291,761.50/x
  3. Step 3: Cross multiply
    183,360x = 291,761.50 × 291,761.50
  4. Step 4: Simplify right side
    183,360x = 85,124,772,882.25
  5. Step 5: Solve for x
    x = 85,124,772,882.25/183,360
  6. Step 6: Final answer
    x = 464,249.42

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.