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Finding the Third Proportional to 186,402 and 398,925

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Solution

The third proportional to 186,402 and 398,925 is: 853,752.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,402 : 398,925 = 398,925 : x
  2. Step 2: Convert to fraction form
    186,402/398,925 = 398,925/x
  3. Step 3: Cross multiply
    186,402x = 398,925 × 398,925
  4. Step 4: Simplify right side
    186,402x = 159,141,155,625
  5. Step 5: Solve for x
    x = 159,141,155,625/186,402
  6. Step 6: Final answer
    x = 853,752.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.