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Finding the Third Proportional to 186,824 and 297,416

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Solution

The third proportional to 186,824 and 297,416 is: 473,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,824 : 297,416 = 297,416 : x
  2. Step 2: Convert to fraction form
    186,824/297,416 = 297,416/x
  3. Step 3: Cross multiply
    186,824x = 297,416 × 297,416
  4. Step 4: Simplify right side
    186,824x = 88,456,277,056
  5. Step 5: Solve for x
    x = 88,456,277,056/186,824
  6. Step 6: Final answer
    x = 473,473.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.