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Finding the Third Proportional to 186,948 and 297,189

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Solution

The third proportional to 186,948 and 297,189 is: 472,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,948 : 297,189 = 297,189 : x
  2. Step 2: Convert to fraction form
    186,948/297,189 = 297,189/x
  3. Step 3: Cross multiply
    186,948x = 297,189 × 297,189
  4. Step 4: Simplify right side
    186,948x = 88,321,301,721
  5. Step 5: Solve for x
    x = 88,321,301,721/186,948
  6. Step 6: Final answer
    x = 472,437.80

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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.