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Finding the Third Proportional to 185,330 and 403,924

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Solution

The third proportional to 185,330 and 403,924 is: 880,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,330 : 403,924 = 403,924 : x
  2. Step 2: Convert to fraction form
    185,330/403,924 = 403,924/x
  3. Step 3: Cross multiply
    185,330x = 403,924 × 403,924
  4. Step 4: Simplify right side
    185,330x = 163,154,597,776
  5. Step 5: Solve for x
    x = 163,154,597,776/185,330
  6. Step 6: Final answer
    x = 880,346.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.