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Finding the Third Proportional to 187,526 and 404,369

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Solution

The third proportional to 187,526 and 404,369 is: 871,955.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,526 : 404,369 = 404,369 : x
  2. Step 2: Convert to fraction form
    187,526/404,369 = 404,369/x
  3. Step 3: Cross multiply
    187,526x = 404,369 × 404,369
  4. Step 4: Simplify right side
    187,526x = 163,514,288,161
  5. Step 5: Solve for x
    x = 163,514,288,161/187,526
  6. Step 6: Final answer
    x = 871,955.29

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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.