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Finding the Third Proportional to 190,071 and 265,731

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Solution

The third proportional to 190,071 and 265,731 is: 371,508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,071 : 265,731 = 265,731 : x
  2. Step 2: Convert to fraction form
    190,071/265,731 = 265,731/x
  3. Step 3: Cross multiply
    190,071x = 265,731 × 265,731
  4. Step 4: Simplify right side
    190,071x = 70,612,964,361
  5. Step 5: Solve for x
    x = 70,612,964,361/190,071
  6. Step 6: Final answer
    x = 371,508.35

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Why These Related Problems?

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