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Finding the Third Proportional to 183,354.89 and 291,753.77

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Solution

The third proportional to 183,354.89 and 291,753.77 is: 464,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,354.89 : 291,753.77 = 291,753.77 : x
  2. Step 2: Convert to fraction form
    183,354.89/291,753.77 = 291,753.77/x
  3. Step 3: Cross multiply
    183,354.89x = 291,753.77 × 291,753.77
  4. Step 4: Simplify right side
    183,354.89x = 85,120,264,315.02
  5. Step 5: Solve for x
    x = 85,120,264,315.02/183,354.89
  6. Step 6: Final answer
    x = 464,237.76

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Why These Related Problems?

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