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Finding the Third Proportional to 186,809.25 and 297,395.63

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Solution

The third proportional to 186,809.25 and 297,395.63 is: 473,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,809.25 : 297,395.63 = 297,395.63 : x
  2. Step 2: Convert to fraction form
    186,809.25/297,395.63 = 297,395.63/x
  3. Step 3: Cross multiply
    186,809.25x = 297,395.63 × 297,395.63
  4. Step 4: Simplify right side
    186,809.25x = 88,444,157,769.14
  5. Step 5: Solve for x
    x = 88,444,157,769.14/186,809.25
  6. Step 6: Final answer
    x = 473,446.35

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