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Finding the Third Proportional to 186,795.25 and 291,856.75

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Solution

The third proportional to 186,795.25 and 291,856.75 is: 456,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,795.25 : 291,856.75 = 291,856.75 : x
  2. Step 2: Convert to fraction form
    186,795.25/291,856.75 = 291,856.75/x
  3. Step 3: Cross multiply
    186,795.25x = 291,856.75 × 291,856.75
  4. Step 4: Simplify right side
    186,795.25x = 85,180,362,520.56
  5. Step 5: Solve for x
    x = 85,180,362,520.56/186,795.25
  6. Step 6: Final answer
    x = 456,009.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.