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Finding the Third Proportional to 186,331 and 408,030

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Solution

The third proportional to 186,331 and 408,030 is: 893,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,331 : 408,030 = 408,030 : x
  2. Step 2: Convert to fraction form
    186,331/408,030 = 408,030/x
  3. Step 3: Cross multiply
    186,331x = 408,030 × 408,030
  4. Step 4: Simplify right side
    186,331x = 166,488,480,900
  5. Step 5: Solve for x
    x = 166,488,480,900/186,331
  6. Step 6: Final answer
    x = 893,509.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.