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Finding the Third Proportional to 190,089 and 279,058.50

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Solution

The third proportional to 190,089 and 279,058.50 is: 409,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,089 : 279,058.50 = 279,058.50 : x
  2. Step 2: Convert to fraction form
    190,089/279,058.50 = 279,058.50/x
  3. Step 3: Cross multiply
    190,089x = 279,058.50 × 279,058.50
  4. Step 4: Simplify right side
    190,089x = 77,873,646,422.25
  5. Step 5: Solve for x
    x = 77,873,646,422.25/190,089
  6. Step 6: Final answer
    x = 409,669.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.