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Finding the Third Proportional to 186,127 and 403,745

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Solution

The third proportional to 186,127 and 403,745 is: 875,799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,127 : 403,745 = 403,745 : x
  2. Step 2: Convert to fraction form
    186,127/403,745 = 403,745/x
  3. Step 3: Cross multiply
    186,127x = 403,745 × 403,745
  4. Step 4: Simplify right side
    186,127x = 163,010,025,025
  5. Step 5: Solve for x
    x = 163,010,025,025/186,127
  6. Step 6: Final answer
    x = 875,799.99

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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.