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Finding the Third Proportional to 186,580 and 402,644

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Solution

The third proportional to 186,580 and 402,644 is: 868,915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,580 : 402,644 = 402,644 : x
  2. Step 2: Convert to fraction form
    186,580/402,644 = 402,644/x
  3. Step 3: Cross multiply
    186,580x = 402,644 × 402,644
  4. Step 4: Simplify right side
    186,580x = 162,122,190,736
  5. Step 5: Solve for x
    x = 162,122,190,736/186,580
  6. Step 6: Final answer
    x = 868,915.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.