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Finding the Third Proportional to 186,681 and 409,647

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Solution

The third proportional to 186,681 and 409,647 is: 898,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,681 : 409,647 = 409,647 : x
  2. Step 2: Convert to fraction form
    186,681/409,647 = 409,647/x
  3. Step 3: Cross multiply
    186,681x = 409,647 × 409,647
  4. Step 4: Simplify right side
    186,681x = 167,810,664,609
  5. Step 5: Solve for x
    x = 167,810,664,609/186,681
  6. Step 6: Final answer
    x = 898,916.68

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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.