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Finding the Third Proportional to 187,998 and 407,154

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Solution

The third proportional to 187,998 and 407,154 is: 881,788.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,998 : 407,154 = 407,154 : x
  2. Step 2: Convert to fraction form
    187,998/407,154 = 407,154/x
  3. Step 3: Cross multiply
    187,998x = 407,154 × 407,154
  4. Step 4: Simplify right side
    187,998x = 165,774,379,716
  5. Step 5: Solve for x
    x = 165,774,379,716/187,998
  6. Step 6: Final answer
    x = 881,788.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.