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Finding the Third Proportional to 190,107 and 265,785

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Solution

The third proportional to 190,107 and 265,785 is: 371,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,107 : 265,785 = 265,785 : x
  2. Step 2: Convert to fraction form
    190,107/265,785 = 265,785/x
  3. Step 3: Cross multiply
    190,107x = 265,785 × 265,785
  4. Step 4: Simplify right side
    190,107x = 70,641,666,225
  5. Step 5: Solve for x
    x = 70,641,666,225/190,107
  6. Step 6: Final answer
    x = 371,588.98

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.