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Finding the Third Proportional to 186,119 and 403,733

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Solution

The third proportional to 186,119 and 403,733 is: 875,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,119 : 403,733 = 403,733 : x
  2. Step 2: Convert to fraction form
    186,119/403,733 = 403,733/x
  3. Step 3: Cross multiply
    186,119x = 403,733 × 403,733
  4. Step 4: Simplify right side
    186,119x = 163,000,335,289
  5. Step 5: Solve for x
    x = 163,000,335,289/186,119
  6. Step 6: Final answer
    x = 875,785.57

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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.