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Finding the Third Proportional to 186,023 and 403,757

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Solution

The third proportional to 186,023 and 403,757 is: 876,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,023 : 403,757 = 403,757 : x
  2. Step 2: Convert to fraction form
    186,023/403,757 = 403,757/x
  3. Step 3: Cross multiply
    186,023x = 403,757 × 403,757
  4. Step 4: Simplify right side
    186,023x = 163,019,715,049
  5. Step 5: Solve for x
    x = 163,019,715,049/186,023
  6. Step 6: Final answer
    x = 876,341.72

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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.