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Finding the Third Proportional to 186,471 and 295,737.75

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Solution

The third proportional to 186,471 and 295,737.75 is: 469,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,471 : 295,737.75 = 295,737.75 : x
  2. Step 2: Convert to fraction form
    186,471/295,737.75 = 295,737.75/x
  3. Step 3: Cross multiply
    186,471x = 295,737.75 × 295,737.75
  4. Step 4: Simplify right side
    186,471x = 87,460,816,775.06
  5. Step 5: Solve for x
    x = 87,460,816,775.06/186,471
  6. Step 6: Final answer
    x = 469,031.74

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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.