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Finding the Third Proportional to 187,155.75 and 402,333.75

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Solution

The third proportional to 187,155.75 and 402,333.75 is: 864,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,155.75 : 402,333.75 = 402,333.75 : x
  2. Step 2: Convert to fraction form
    187,155.75/402,333.75 = 402,333.75/x
  3. Step 3: Cross multiply
    187,155.75x = 402,333.75 × 402,333.75
  4. Step 4: Simplify right side
    187,155.75x = 161,872,446,389.06
  5. Step 5: Solve for x
    x = 161,872,446,389.06/187,155.75
  6. Step 6: Final answer
    x = 864,907.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.