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Finding the Third Proportional to 187,364 and 401,499

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Solution

The third proportional to 187,364 and 401,499 is: 860,365.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,364 : 401,499 = 401,499 : x
  2. Step 2: Convert to fraction form
    187,364/401,499 = 401,499/x
  3. Step 3: Cross multiply
    187,364x = 401,499 × 401,499
  4. Step 4: Simplify right side
    187,364x = 161,201,447,001
  5. Step 5: Solve for x
    x = 161,201,447,001/187,364
  6. Step 6: Final answer
    x = 860,365.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.