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Finding the Third Proportional to 186,960 and 405,633

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Solution

The third proportional to 186,960 and 405,633 is: 880,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,960 : 405,633 = 405,633 : x
  2. Step 2: Convert to fraction form
    186,960/405,633 = 405,633/x
  3. Step 3: Cross multiply
    186,960x = 405,633 × 405,633
  4. Step 4: Simplify right side
    186,960x = 164,538,130,689
  5. Step 5: Solve for x
    x = 164,538,130,689/186,960
  6. Step 6: Final answer
    x = 880,071.30

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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.