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Finding the Third Proportional to 186,850 and 290,119

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Solution

The third proportional to 186,850 and 290,119 is: 450,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,850 : 290,119 = 290,119 : x
  2. Step 2: Convert to fraction form
    186,850/290,119 = 290,119/x
  3. Step 3: Cross multiply
    186,850x = 290,119 × 290,119
  4. Step 4: Simplify right side
    186,850x = 84,169,034,161
  5. Step 5: Solve for x
    x = 84,169,034,161/186,850
  6. Step 6: Final answer
    x = 450,463.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.