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Finding the Third Proportional to 187,152.50 and 405,833.50

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Solution

The third proportional to 187,152.50 and 405,833.50 is: 880,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,152.50 : 405,833.50 = 405,833.50 : x
  2. Step 2: Convert to fraction form
    187,152.50/405,833.50 = 405,833.50/x
  3. Step 3: Cross multiply
    187,152.50x = 405,833.50 × 405,833.50
  4. Step 4: Simplify right side
    187,152.50x = 164,700,829,722.25
  5. Step 5: Solve for x
    x = 164,700,829,722.25/187,152.50
  6. Step 6: Final answer
    x = 880,035.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.