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Finding the Third Proportional to 183,462.50 and 291,869.50

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Solution

The third proportional to 183,462.50 and 291,869.50 is: 464,333.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,462.50 : 291,869.50 = 291,869.50 : x
  2. Step 2: Convert to fraction form
    183,462.50/291,869.50 = 291,869.50/x
  3. Step 3: Cross multiply
    183,462.50x = 291,869.50 × 291,869.50
  4. Step 4: Simplify right side
    183,462.50x = 85,187,805,030.25
  5. Step 5: Solve for x
    x = 85,187,805,030.25/183,462.50
  6. Step 6: Final answer
    x = 464,333.61

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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.