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Finding the Third Proportional to 187,521 and 404,361

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Solution

The third proportional to 187,521 and 404,361 is: 871,944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,521 : 404,361 = 404,361 : x
  2. Step 2: Convert to fraction form
    187,521/404,361 = 404,361/x
  3. Step 3: Cross multiply
    187,521x = 404,361 × 404,361
  4. Step 4: Simplify right side
    187,521x = 163,507,818,321
  5. Step 5: Solve for x
    x = 163,507,818,321/187,521
  6. Step 6: Final answer
    x = 871,944.04

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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.