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Finding the Third Proportional to 183,392 and 401,776

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Solution

The third proportional to 183,392 and 401,776 is: 880,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,392 : 401,776 = 401,776 : x
  2. Step 2: Convert to fraction form
    183,392/401,776 = 401,776/x
  3. Step 3: Cross multiply
    183,392x = 401,776 × 401,776
  4. Step 4: Simplify right side
    183,392x = 161,423,954,176
  5. Step 5: Solve for x
    x = 161,423,954,176/183,392
  6. Step 6: Final answer
    x = 880,212.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.