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Finding the Third Proportional to 186,117.75 and 403,731

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Solution

The third proportional to 186,117.75 and 403,731 is: 875,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,117.75 : 403,731 = 403,731 : x
  2. Step 2: Convert to fraction form
    186,117.75/403,731 = 403,731/x
  3. Step 3: Cross multiply
    186,117.75x = 403,731 × 403,731
  4. Step 4: Simplify right side
    186,117.75x = 162,998,720,361
  5. Step 5: Solve for x
    x = 162,998,720,361/186,117.75
  6. Step 6: Final answer
    x = 875,782.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.