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Finding the Third Proportional to 186,698 and 409,681

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Solution

The third proportional to 186,698 and 409,681 is: 898,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,698 : 409,681 = 409,681 : x
  2. Step 2: Convert to fraction form
    186,698/409,681 = 409,681/x
  3. Step 3: Cross multiply
    186,698x = 409,681 × 409,681
  4. Step 4: Simplify right side
    186,698x = 167,838,521,761
  5. Step 5: Solve for x
    x = 167,838,521,761/186,698
  6. Step 6: Final answer
    x = 898,984.04

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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.