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Finding the Third Proportional to 186,021 and 402,948

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Solution

The third proportional to 186,021 and 402,948 is: 872,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,021 : 402,948 = 402,948 : x
  2. Step 2: Convert to fraction form
    186,021/402,948 = 402,948/x
  3. Step 3: Cross multiply
    186,021x = 402,948 × 402,948
  4. Step 4: Simplify right side
    186,021x = 162,367,090,704
  5. Step 5: Solve for x
    x = 162,367,090,704/186,021
  6. Step 6: Final answer
    x = 872,842.80

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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.