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Finding the Third Proportional to 187,110.25 and 293,182.50

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Solution

The third proportional to 187,110.25 and 293,182.50 is: 459,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,110.25 : 293,182.50 = 293,182.50 : x
  2. Step 2: Convert to fraction form
    187,110.25/293,182.50 = 293,182.50/x
  3. Step 3: Cross multiply
    187,110.25x = 293,182.50 × 293,182.50
  4. Step 4: Simplify right side
    187,110.25x = 85,955,978,306.25
  5. Step 5: Solve for x
    x = 85,955,978,306.25/187,110.25
  6. Step 6: Final answer
    x = 459,386.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.