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Finding the Third Proportional to 183,199.50 and 291,422.25

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Solution

The third proportional to 183,199.50 and 291,422.25 is: 463,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,199.50 : 291,422.25 = 291,422.25 : x
  2. Step 2: Convert to fraction form
    183,199.50/291,422.25 = 291,422.25/x
  3. Step 3: Cross multiply
    183,199.50x = 291,422.25 × 291,422.25
  4. Step 4: Simplify right side
    183,199.50x = 84,926,927,795.06
  5. Step 5: Solve for x
    x = 84,926,927,795.06/183,199.50
  6. Step 6: Final answer
    x = 463,576.20

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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.