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Finding the Third Proportional to 186,585.75 and 286,960.50

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Solution

The third proportional to 186,585.75 and 286,960.50 is: 441,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,585.75 : 286,960.50 = 286,960.50 : x
  2. Step 2: Convert to fraction form
    186,585.75/286,960.50 = 286,960.50/x
  3. Step 3: Cross multiply
    186,585.75x = 286,960.50 × 286,960.50
  4. Step 4: Simplify right side
    186,585.75x = 82,346,328,560.25
  5. Step 5: Solve for x
    x = 82,346,328,560.25/186,585.75
  6. Step 6: Final answer
    x = 441,332.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.