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Finding the Third Proportional to 183,343.50 and 289,777.50

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Solution

The third proportional to 183,343.50 and 289,777.50 is: 457,998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,343.50 : 289,777.50 = 289,777.50 : x
  2. Step 2: Convert to fraction form
    183,343.50/289,777.50 = 289,777.50/x
  3. Step 3: Cross multiply
    183,343.50x = 289,777.50 × 289,777.50
  4. Step 4: Simplify right side
    183,343.50x = 83,970,999,506.25
  5. Step 5: Solve for x
    x = 83,970,999,506.25/183,343.50
  6. Step 6: Final answer
    x = 457,998.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.