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Finding the Third Proportional to 190,776 and 376,748

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Solution

The third proportional to 190,776 and 376,748 is: 744,008.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,776 : 376,748 = 376,748 : x
  2. Step 2: Convert to fraction form
    190,776/376,748 = 376,748/x
  3. Step 3: Cross multiply
    190,776x = 376,748 × 376,748
  4. Step 4: Simplify right side
    190,776x = 141,939,055,504
  5. Step 5: Solve for x
    x = 141,939,055,504/190,776
  6. Step 6: Final answer
    x = 744,008.97

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.