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Finding the Third Proportional to 187,256.81 and 404,038.13

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Solution

The third proportional to 187,256.81 and 404,038.13 is: 871,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,256.81 : 404,038.13 = 404,038.13 : x
  2. Step 2: Convert to fraction form
    187,256.81/404,038.13 = 404,038.13/x
  3. Step 3: Cross multiply
    187,256.81x = 404,038.13 × 404,038.13
  4. Step 4: Simplify right side
    187,256.81x = 163,246,806,453.52
  5. Step 5: Solve for x
    x = 163,246,806,453.52/187,256.81
  6. Step 6: Final answer
    x = 871,780.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.