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Finding the Third Proportional to 187,125.19 and 286,300.13

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Solution

The third proportional to 187,125.19 and 286,300.13 is: 438,037.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,125.19 : 286,300.13 = 286,300.13 : x
  2. Step 2: Convert to fraction form
    187,125.19/286,300.13 = 286,300.13/x
  3. Step 3: Cross multiply
    187,125.19x = 286,300.13 × 286,300.13
  4. Step 4: Simplify right side
    187,125.19x = 81,967,761,575.02
  5. Step 5: Solve for x
    x = 81,967,761,575.02/187,125.19
  6. Step 6: Final answer
    x = 438,037.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.