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Finding the Third Proportional to 187,029 and 282,507.75

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Solution

The third proportional to 187,029 and 282,507.75 is: 426,728.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,029 : 282,507.75 = 282,507.75 : x
  2. Step 2: Convert to fraction form
    187,029/282,507.75 = 282,507.75/x
  3. Step 3: Cross multiply
    187,029x = 282,507.75 × 282,507.75
  4. Step 4: Simplify right side
    187,029x = 79,810,628,810.06
  5. Step 5: Solve for x
    x = 79,810,628,810.06/187,029
  6. Step 6: Final answer
    x = 426,728.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.