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Finding the Third Proportional to 186,259.50 and 295,062.75

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Solution

The third proportional to 186,259.50 and 295,062.75 is: 467,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,259.50 : 295,062.75 = 295,062.75 : x
  2. Step 2: Convert to fraction form
    186,259.50/295,062.75 = 295,062.75/x
  3. Step 3: Cross multiply
    186,259.50x = 295,062.75 × 295,062.75
  4. Step 4: Simplify right side
    186,259.50x = 87,062,026,437.56
  5. Step 5: Solve for x
    x = 87,062,026,437.56/186,259.50
  6. Step 6: Final answer
    x = 467,423.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.