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Finding the Third Proportional to 186,050 and 403,609

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Solution

The third proportional to 186,050 and 403,609 is: 875,572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,050 : 403,609 = 403,609 : x
  2. Step 2: Convert to fraction form
    186,050/403,609 = 403,609/x
  3. Step 3: Cross multiply
    186,050x = 403,609 × 403,609
  4. Step 4: Simplify right side
    186,050x = 162,900,224,881
  5. Step 5: Solve for x
    x = 162,900,224,881/186,050
  6. Step 6: Final answer
    x = 875,572.29

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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.