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Finding the Third Proportional to 190,080 and 413,005.50

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Solution

The third proportional to 190,080 and 413,005.50 is: 897,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,080 : 413,005.50 = 413,005.50 : x
  2. Step 2: Convert to fraction form
    190,080/413,005.50 = 413,005.50/x
  3. Step 3: Cross multiply
    190,080x = 413,005.50 × 413,005.50
  4. Step 4: Simplify right side
    190,080x = 170,573,543,030.25
  5. Step 5: Solve for x
    x = 170,573,543,030.25/190,080
  6. Step 6: Final answer
    x = 897,377.65

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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.